Kurse und Veranstaltungen für Studenten der Mathematik

These are a series of combinatorial workshops, held once per semester, each on a Saturday. The series began with its first meeting in spring 2010. They rotate among the universities in and around the Research Triangle. Participants come from numerous colleges and universities within a few hours drive, and some from even farther away. These workshops are funded by the National Science Foundation, in particular enabling us to bring in four exciting speakers to give one hour talks each time as well as funding travel expenses for participants.

Institute for Pure and Applied Mathematics (IPAM), UCLA

Part of the Long Program Machine Learning for Physics and the Physics of Learning.

In this workshop we will explore how to use physical intuition and ideas to design new classes of machine learning (ML) algorithms. Physics-inspired sampling algorithms could be used to train ML structures or sample the hyper-parameter space (e.g. deep Neural Networks). Additionally, physics-based models such as Ising/Potts models or energy-based models have influenced ML inference frameworks such as Markov Random Fields and Restricted Boltzmann Machines, and we want to continue the discussion to facilitate this innovation transfer. Finally, physical insight could be used to enhance learning in the situation of scarce data by enforcing smoothness, differentiability or other physical properties relevant to a given problem.

The Capability Systems Centre at UNSW Canberra will host the Summer School on Model-Based Decision Analysis the week before MODSIM 2019.

Bernoulli Center (CIB)

Part of the Semester : Dynamics with Structures

Algebra,    Geometrie und Topologie

Banaras Hindu University Varanasi, University of Strasbourg

Geometrie und Topologie,    Algebra

Graphentheorie und Kombinatorik,    Numerische Analysis

Centre International de Rencontres Mathématiques (CIRM)

Representation theory is the study of the basic symmetries of mathematics and physics. Recently, it has known some spectacular developments, thanks to the introduction of new technics such as categorical representations or parity sheaves. The continued development of the subject has motivated a trimester in representation theory at the IHP that will take place in 2020 from January to March. This program will begin with an introductory conference. It will consist of 6 mini-courses on the main topics (categorifications and quantum groups, quiver varieties, character varieties, geometric representation theory). It is devoted to younger researchers, but also to senior ones in order to promote the discussions between young mathematicians and seniors.

Algebra,    Mathematische Physik

Laboratoire LIRMM de l’Université de Montpellier

University of Geneva

Statistik, Spieltheorie ,    Simulation

The Fields Institute

Two intensive mini-courses will be given over one week by experts on polyhedral products and toric topology. These are designed to give graduate students and early career researchers in nearby fields a better understanding of each subject by presenting multiple viewpoints from different lecturers, thus enabling the participants to better engage in the subsequent workshops and seminars.

The workshop intentionally focusses on only four main speakers giving a 4-hour mini-course each. Their lectures are supposed to present a panoramic overview over some important developments in their field with the goal to enable the participants to actively participate in the new directions of research emerging from these developments. Special time slots will be reserved for active discussions of the participants under the moderation of the main speakers.

Institute for Pure and Applied Mathematics (IPAM), UCLA

Applications that involve HJ PDEs in a high-dimensional (and possibly infinite-dimensional) setting lead to challenging computational problems. Although a large literature is available on HJ PDEs, many challenges remain both from a mathematical and computational point of view. The program will open with one week of tutorials, presented by some of the main organizers. These tutorials will provide an introduction to the major themes of the entire program and connect the themes of the four workshops. The goal is to introduce a common language and build a foundation for the participants of this program who have diverse scientific backgrounds. During the weeks between workshops, participants in residence will develop collaborations; we expect fruitful discussions especially between domain scientists, algorithm developers and pure and applied mathematicians.

Infinitesimalrechnung, Differentialgleichungen, Integralrechnung,    Angewandte Mathematik (allgem.)

This Spring School will gather together PhD students and junior researchers who use category-theoretic ideas or techniques in their research. It will provide a forum to learn about important themes in contemporary category theory, both from experts and from each other. Three invited speakers will each present a three-hour mini-course, accessible to non-specialists, introducing an area of active research. There will also be short talks contributed by PhD students and postdocs, and a poster session. The focus of the Spring School is on aspects of pure category theory as they interact with research in other areas of algebra, geometry, topology and logic. Any "categorical thinker" - that is, any mathematician whose work makes use of categorical ideas - is welcome to participate.

Email: jct.uk.2020@gmail.com

Category Theory, Grothendieck Toposes, Topos Theory, Higher Category Theory, Model Categories, Derived and Triangulated Categories

Algebra,    Geometrie und Topologie

Over the past decades it became evident that a RNA transcripts specific amount and localisation are important in order to understand the biological function of its (non-) coding gene. Whereby state-of-the-art in situ hybridisation (ISH) technologies are key to visualise these RNAs in a given tissue or cell. This course aims to highlight three powerful RNA visualisation techniques in histological tissue samples. During this course the participants will learn to validate the cellular localisation of candidate genes from transcriptome studies through conventional ISH and, the more recent cutting-edge, smFISH (Single Molecule Fluorescent ISH) and HCR-ISH (Hybridization Chain Reaction), based RNA ISH hybridisation methods. Additionally, the course will also cover essential tissue embedding protocols that are adapted for use in visually interrogating RNA transcripts in mammalian tissues.

EMBL Events;     Tel.: [+49 6221 378 8797];     Email: events@embl.de

Biologie,    Molekularbiologie

Bernoulli Center (CIB)

Functional data such as space curves, images, and surfaces are seldom sensed directly; curves are often noisily and discretely sampled, images are subject to blurring and deformation, and surfaces are often obtained via indirect linear measurements. Understanding the generation of the observations then requires modelling the act of acquisition, and solving an inverse problem in order to arrive at statistical inferences. This leads to a host of new research questions, from identifiability to trade-offs between statistical optimality and computational feasibility, which also make contact with signal processing and numerical analysis.

Part of the Semester : Functional Data Analysis

Institute for Pure and Applied Mathematics (IPAM), UCLA

Ideas to be explored in the workshop include different computational methodologies for efficient real-time solution of nonlinear HJ equations in reachability, optimal control, and differential games. Ideas such as efficient reduced-complexity computation of optimal control solutions, exploiting structure to decompose the solution space to scalable computations and reduced-complexity feedback structures for efficient implementation of optimal controllers based on available data will be considered.

Infinitesimalrechnung, Differentialgleichungen, Integralrechnung,    Angewandte Mathematik (allgem.)

Centre International de Rencontres Mathématiques (CIRM)

Geometrie und Topologie,    Mathematische Physik

Institute for Pure and Applied Mathematics (IPAM), UCLA

This workshop will bring together researchers with background in PDEs, Inverse Problems, and Scientific Computing who are already working in machine learning, along with researchers who are interested in these approaches.

Infinitesimalrechnung, Differentialgleichungen, Integralrechnung,    Angewandte Mathematik (allgem.)

The Fields Institute

Bernoulli Center (CIB)

Spatio-temporal modelling central to many modern applications, but the dimensionality of the domain of such data poses both conceptual and computational statistical challenges. These are exacerbated in a nonparametric setting, where questions related to asymptotic framework and invariance assumptions arise. The areas of functional data analysis and random field analysis have been attacking these problems separately, but are now increasingly coming into contact, especially when replication may be feasible. The workshop will bring together experts from both areas to explore recent trends and novel challenges.

Part of the Semester : Functional Data Analysis

Institute for Pure and Applied Mathematics (IPAM), UCLA

This week-long workshop on Mean Field Games (MFG) and Applications for has a number of goals: (i) to gather together leading researchers in MFG and certain cognate areas (economics, optimal transportation, finite dimensional Hamilton-Jacobi equations, Stochastic equations, applied control, numerics). (ii) to expose new researchers to the promise of the field and its array of challenges, while grounding them in its basic techniques; (iv) to make available to the wider community a series of broad interest talks on MFG.

Infinitesimalrechnung, Differentialgleichungen, Integralrechnung,    Angewandte Mathematik (allgem.)

Hausdorff Center for Mathematics

Institute for Pure and Applied Mathematics (IPAM), UCLA

In spite of its flexibility, computing nonlinear problems in random media is very expensive. Hence, in practice, it is needed to consider environments which are small random perturbations of periodic ones, and then to obtain some asymptotic expansion for the ergodic constants. Concrete examples of such phenomena that relate to Hamilton-Jacobi equations are large deviations, front propagation and random walks in random media. The latter strengthens the connection with probability.

Infinitesimalrechnung, Differentialgleichungen, Integralrechnung,    Angewandte Mathematik (allgem.)

University of Salerno

The aim of the Intensive Period is to bring together researchers interested in Poisson geometry in a broad sense and mathematical physics from Italy and from abroad. It also aims at presenting the foundations of the theory as well as its more recent results/ramifications to potentially interested young researchers. The Intensive Period is organized in - a Series of Seminars - a Mini-Workshop on Coisotropic Reduction - a Mini-Workshop on VB-Groupoids - a Summer School on Poisson Geometry - an International Conference on Poisson Geometry

Geometrie und Topologie,    Mathematische Physik

The Fields Institute

Two mini-courses will be given by experts in Geometric Group Theory. These are designed to give graduate students and early career researchers a research level perspective on how and why Polyhedral Products appear in Geometric Group Theory, thereby enabling the participants to engage fully in the workshop that immediately follows.

Geometrie und Topologie,    Gruppentheorie

Bernoulli Center (CIB)

Topological and discrete data such as trees and networks constitute strongly non-Euclidean structures, often beyond the reach of traditional statistical tools. Their analysis is often challenged by computational tractability, as natural constraints such as permutation invariance are computationally hard to implement. Still, such data can be often transposed into more familiar contexts, whether by transformation, asymptotic arguments, or replicated observations. This workshop will explore both modelling and processing of discrete structures, also drawing in areas such as signal processing on graphs and nonparametrics.

Part of the Semester : Functional Data Analysis

The 2020 School on Column Generation is the fourth of its kind (after Paris, France, in 2018 and 2014, Darmstadt, Germany, in 2010 and Montréal, Canada, in 2006) and aims at teaching the state-of-the-art in column generation and branch-and-price to advanced students and PhD students but also to practitioners and researchers interested. The lectures will be given by renowned scientists in the field. The participants will have the opportunity to present their own research or application problems in order to foster discussions and create a "real workshop atmosphere".

Basic theory (decompositions, reformulations, convexification, discretization, etc.), vehicle routing and crew scheduling applications, shortest path subproblems, column generation heuristics, master problem issues (stabilization, aggregation), branching and cutting

Institute for Mathematical Sciences/National University of Singapore

Interactions between people working in Index Theory and Complex Geometry are increasing. One of the reasons is that although researchers use different tools and techniques, their studies have profound connections and are understandable to people from both sides. Sharing experiences and techniques is an opportunity for them to accelerate collaboration works. Index Theory and Complex Geometry recently both have spectacular developments. In this program, we plan to dig out more materials on complex geometry side of global analysis led by recent development on geometric hypoelliptic Laplacians.

Algebra,    Geometrie und Topologie

Bernoulli Center (CIB)

Important classes of functional data, such as random measures and random operators, are intrinsically constrained and need to be represented as elements of suitable non-Euclidean spaces, such as Hilbert manifolds. The interplay between the infinite dimensionality of their variation and the non-linearity of their representation space poses novel challenges for statistics, at the interface of several domains, such as shape analysis, stochastic geometry, manifold learning, and functional data analysis. This workshop will bring together experts from these fields to explore these novel challenges and future perspectives.

Part of the Semester : Functional Data Analysis

The application of topology to physics has become an integral part of a second quantum revolution in the sciences. The discovery of topological insulators and progress towards topological superconductors realizing non-abelian statistics has moved topological phases of matter onto the center stage in the interaction of topology and physics beyond the quantum Hall effect. While topological physics has been intensively investigated by physicists for the last few decades, the mathematical theory lags far behind. One challenge is formulating the right definition of topological phases of matter, which is closely related to the notoriously difficult problem of finding a rigorous mathematical formulation of quantum field theory. In this summer school, we will focus on two relatively mature foundational topics, and two new directions in the mathematics of topological phases of matter.

Kurse und Veranstaltungen für Physikstudenten,    Mathematische Physik

Hausdorff Center for Mathematics (hcm)

The Circle Method emerged one hundred years ago from ideas of Ramanujan, Hardy and Littlewood, and quickly became the most powerful analytic method for counting solutions to Diophantine equations. As the Circle Method enters its second century, new work is making significant advances both in strengthening results in classical Diophantine settings, and in demonstrating applications in novel settings. This includes function field, number field, adelic, geometric, and harmonic analytic applications, with striking consequences in areas such as ergodic theory, subconvexity for L -functions, and the Langlands program. This summer school for graduate students and postdocs will present accessible lecture series that demonstrate how to apply the Circle Method in a wide variety of settings.

Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Science, Russia

G2G2-Summer School is associated with G2G2-Minisymposia of 8ECM. It belongs to the G2-series that are about strong and beautiful mathematics, especially those involving group actions on combinatorial objects. The main goal of G2G2-Summer School is to bring together experts and students to exchange ideas and to enrich their mathematical horizon. We organize two short courses and four colloquium talks to let participants see order and simplicity from possibly new perspectives and share insights with experts.

Graphentheorie und Kombinatorik,    Gruppentheorie

Institute for Mathematical Sciences/National University of Singapore

Causal inference is the study of quantifying whether a treatment, policy, or an intervention, denoted as A, has a causal effect on an outcome interest, denoted as Y. What distinguishes a causal effect of A on Y from an associative effect of A on Y, say by computing the correlation between A and Y, is that under a causal effect, intervening on the treatment A leads to changes in the outcome Y. Hence, a causal effect is a stronger notion of a relationship between A and Y than an associative effect.

Angewandte Mathematik (allgem.),    Informations & Wissensmanagement, Big Data Computing

College of Liberal and Professional Studies | University of Pennsylvania

The Mathematics Academy is a unique opportunity for students interested in examining mathematical concepts rarely offered at the high school level. This rigorous, proof-oriented program will fuse lectures, problem sessions, demonstrations, and exploratory research to engage students.

Centre International de Rencontres Mathématiques (CIRM)

RESEARCH SCHOOL

Algebra,    Angewandte Mathematik (allgem.)

Each of three main courses consists of 5 hours of lectures and 1 hour of exercises.

Tel.: [48693218569];     Email: psniady@impan.pl

random Young tableaux, shifted symmetric groups, reflection groups, crystal bases

Department of Mathematics of the University of Salerno

Poisson 2020 is the 12nd in a series of international conferences on Poisson geometry. It will be held in the Department of Mathematics of the University of Salerno, Fisciano (SA), and the Accademia Pontaniana, Napoli, Italy. The event comprises: - a Summer School (July 6 - 10), aimed at students in their final years, PhD students and young researchers. - an International Conference (July 13 - 17), to be attended by students and researches from around the world, including some of the leading mathematicians in the field of Poisson Geometry. Links to the previous conferences in the series can be found at the Poisson Geometry Home Page: www.lpthe.jussieu.fr/~dito/poissongeometry.

PhD summer schools on Multiple Criteria Decision Aiding/Making (MCDA/MCDM) have been jointly organized by the International Society on Multiple Criteria Decision (MCDM) making and EURO Working Group on Multicriteria Decision Aiding (EWG-MCDA) regularly since 1983. The summer school brings together around 50 PhD students from all over the world and leading scholars of MCDA/MCDM at a venue where all participants live, work, and socialize together for a two-week period. This event has been very successful in educating future generations of MCDA/MCDM scholars and facilitating networking among participants.

The Young Researchers in Combinatorics workshop is aimed at PhD students and early-career academics working in Extremal and Probabilistic Combinatorics and related fields. By building an environment without senior researchers, we hope the participants will feel free to contribute their ideas openly, thus preparing them to undertake their own research projects. The workshop consists mostly of working sessions in which participants collaborate on research problems, and a limited number of talks and lectures. We aim to host around 10 invited participants and about 25 PhD students for a week between 19 and 25 July 2020 at ICMS Edinburgh. Accommodation and refreshments are provided for all participants, as well as a conference dinner. A registration fee of 100GBP is payable by all non-invited participants. We expect to start accepting applications in October 2019.

Mathematical Sciences Research Institute – MSRI

The Illustrating Mathematics program brings together mathematicians, makers, and artists who share a common interest in illustrating mathematical ideas via computational tools.

The program includes week-long workshops in Geometry and Topology, Algebra and Number Theory, and Dynamics and Probability, as well as master courses, seminars, and an art exhibition.

moduli spaces of geometric structures, hyperbolic geometry, configuration spaces, sphere eversions, apollonian packings, kleinian groups, sandpiles and tropical geometry, analytic number theory, supercharacters, complex dynamics, billiards, random walks, and Schramm–Loewner evolution

Institute for Mathematical Sciences/National University of Singapore

Institute for Mathematical Sciences/National University of Singapore

Ingenieurwesen,    Angewandte Mathematik (allgem.)

Institute for Mathematical Sciences/National University of Singapore

This workshop is devoted to the theory of representations of reductive groups over local fields.

Institute for Mathematical Sciences/National University of Singapore

In this two-week program, we explore the interactions between geometric group theory, geometric structures and Anosov representations. Geometric group theory, in the broadest sense, seeks to understand the structure of groups through their actions on objects with geometric meaning. Conversely, one can take a known group and attempt to understand all its geometrically meaningful actions. One natural notion that arises in this setting is an Anosov representation, which came about as an attempt to describe what it means for the action of a discrete group on a homogeneous space to be geometrically well behaved. Also, in his Erlangen program, Felix Klein viewed geometry as a space which is invariant under a group of transformations. This gave rise to the notion of a geometric structure, which gives yet another notion of a geometrically meaningful action of a group on a homogeneous space.

Gruppentheorie,    Geometrie und Topologie

Institute for Mathematical Sciences/National University of Singapore

This is a two-week program gathering mathematicians and physicists interested in the statistical physics of strongly correlated and long range random particle systems. These particle systems include Gibbs point processes such as Coulomb gases, determinantal point process, eigenvalues of random matrices, etc. They are linked to mathematical long-standing challenges such as the crystallization and best packing conjectures among others. One aspect that we want to put forward in this meeting is that the pioneering tools from classical statistical mechanics à la Ruelle, Lanford, Lebowitz may not have been used enough for the study of these particle systems yet.

Institute for Mathematical Sciences/National University of Singapore

This is a one-week program gathering mathematicians, engineers, and scientists interested in reduced order models and methods (ROMs) for systems of partial differential equations. The general idea behind ROMs is to derive a low-dimensional model from a high-dimensional model, by integrating techniques from data science, modeling, and simulation, in order to obtain accurate and reliable results at greatly reduced computational costs.

Angewandte Mathematik (allgem.),    Analysis

Institute for Mathematical Sciences/National University of Singapore