Kurse und Veranstaltungen für Studenten der Mathematik in Kanada

Random Growth Models and KPZ Universality

12. Sep 2021 - 17. Sep 2021 • Banff Centre in Alberta, Kanada

Veranstalter:

Banff International Research Station for Mathematical Innovation and Discovery (BIRS)

Zusammenfassung:

Irregular growth is a ubiquitous phenomenon in nature, from the growth of tumors, crystals, and bacterial colonies to the propagation of forest fires and the spread of water through a porous medium. Mathematical models of random growth have been a driving force in probability theory over the last sixty years and a rich source of important ideas. The analysis of random growth models began in the early 1960s with the introduction of the Eden model by Eden and first-passage percolation by Hammersley and Welsh. The field witnessed several breakthroughs in the 1980s and 1990s, from the introduction of more random growth models, including the Kardar, Parisi, and Zhang (KPZ) equation and the KPZ universality class, to the ground-breaking works of Tracy and Widom and of Baik, Deift, and Johansson, and the seminal works of Newman and coauthors. These results caused a flurry of activity and more analytical and geometrical tools were developed.

Eintrags-ID:

1364449

Verwandte Fachgebiete:

Algebra

Webseite:

https://www.birs.ca/events/2021/5-day-workshops/21w5175

Mini-school: From Geometric Stability Theory to Tame Geometry

16. Sep 2021 - 17. Sep 2021 • The Fields Institute –Toronto, Ontario, Kanada

Veranstalter:

The Fields Institute for Research in Mathematical Sciences

Zusammenfassung:

Scheduled as part of the Thematic Program on Trends in Pure and Applied Model Theory

Eintrags-ID:

1386012

Verwandte Fachgebiete:

Algebra, Geometrie und Topologie

Webseite:

http://www.fields.utoronto.ca/activities/21-22/model-theory-geo-minischool

New Directions in Statistical Inference on Networks and Graphs

19. Sep 2021 - 24. Sep 2021 • Banff Centre in Alberta, Kanada

Veranstalter:

Banff International Research Station for Mathematical Innovation and Discovery (BIRS)

Zusammenfassung:

Advances in data collection and social media have led to network and graph data becoming available in many areas, including social sciences, biological sciences, and engineering. Understanding and modeling network structure, as well as conducting rigorous statistical inference to assess uncertainty, can provide crucial insights into the dynamics and interaction mechanisms of the system. Statistical network analysis to date has largely focused on the setting where a single network is observed as a noisy version of some underlying structure of interest. This setting in itself is challenging, requiring adaptation of existing statistical frameworks to networks and bridging the gap between theoretically optimal performance and computational feasibility. The workshop will start by covering recent advances in this setting.

Eintrags-ID:

1364404

Verwandte Fachgebiete:

Statistik, Spieltheorie , Graphentheorie und Kombinatorik

Webseite:

https://www.birs.ca/events/2021/5-day-workshops/21w5186

Workshop: From Geometric Stability Theory to Tame Geometry

20. Sep 2021 - 24. Sep 2021 • The Fields Institute –Toronto, Ontario, Kanada

Veranstalter:

The Fields Institute for Research in Mathematical Sciences

Zusammenfassung:

Scheduled as part of the Thematic Program on Trends in Pure and Applied Model Theory

Eintrags-ID:

1386044

Verwandte Fachgebiete:

Algebra, Geometrie und Topologie

Webseite:

http://www.fields.utoronto.ca/activities/21-22/model-theory-tame-geo

Connecting Network Structure to its Dynamics: Fantasy or Reality?

26. Sep 2021 - 01. Okt 2021 • Banff Centre in Alberta, Kanada

Veranstalter:

Banff International Research Station for Mathematical Innovation and Discovery (BIRS)

Zusammenfassung:

A key challenge in biology and medicine is to understand how network of interacting genes gives rise to cellular behavior. Experimental limitations and the big data generated by 'omics technologies requires the development of quantitative approaches to overcome this challenge. In the context of mathematical models this challenge takes form of predicting complex dynamic behavior of gene and signaling networks inside cells. Construction of appropriate models is difficult due to large uncertainty in the state of the cell, the efficiency of its enzymes, and the form of interactions between genes.

Eintrags-ID:

1364414

Verwandte Fachgebiete:

Komplexe Netzwerke

Webseite:

https://www.birs.ca/events/2021/5-day-workshops/21w5005

International Conference in Probability and Statistics in Celebration of the 80th Birthday of Gérard Letac

27. Sep 2021 - 01. Okt 2021 • The Fields Institute –Toronto, Ontario, Kanada

Veranstalter:

The Fields Institute for Research in Mathematical Sciences

Zusammenfassung:

This conference will be held to celebrate the 80th birthday of French probabilist Gérard Letac on January 6, 2020. Continuously active and publishing since his first paper appeared in 1964, Letac is now Professor Emeritus at the Institut de Mathématiques de Toulouse, Laboratoire de Statistique et Probabilités of the Université Paul Sabatier. He has authored five books and directed twenty-six PhD students.

Letac’s work in the areas of probability theory, mathematical statistics, measure theory and analysis is well recognized by both the mathematical and statistical communities. His papers have had substantial impact on many probabilists and statisticians. In his talks, Letac often reveals surprising connections and elegant structures underlying problems that are either complex or deceptively innocent looking. Due to his breadth of expertise, he also often uncovers a deep algebraic structure behind probability problems. Former students and colleagues will celebrate Gérard Letac's work during this conference and we hope that the breadth as well as depth of his work will inspire the upcoming generation of young researchers.

The conference includes daily tutorial lectures accessible to graduate students.

Eintrags-ID:

1386054

Verwandte Fachgebiete:

Statistik, Spieltheorie

Webseite:

http://www.fields.utoronto.ca/activities/21-22/probability-and-statistics

Mathematics of the Cell: Integrating Signaling, Transport and Mechanics

17. Okt 2021 - 22. Okt 2021 • Banff Centre in Alberta, Kanada

Veranstalter:

Banff International Research Station for Mathematical Innovation and Discovery (BIRS)

Zusammenfassung:

An aspiration of modern cell biology is to 1) understand how the various cellular components assemble into a cell and 2) understand how cell function arises from the interaction of those components. How do cells form with a specific shape and size? How do they divide and how do cells decide where to divide? How does transport occur in the crowded cellular environment inside a cell? Mathematics has a role in helping answer such questions. Understanding of these phenomena also presents the opportunity to discover new deep mathematical concepts, particularly because it involves chemistry and physics acting across length-scales, from molecules to cells and tissues. BIRS has played a foundational role in the development of what has become known as Mathematical Biology of the Cell, by hosting regular workshops that have helped reveal principles behind how cellular components assemble and organize themselves to form discrete structures, distinct cellular compartments, and form patterns. The underlying goal of this meeting of interdisciplinary and diverse scientists is to understand the fundamental principles connecting cell signaling, geometry, transport, and mechanics.

Eintrags-ID:

1364424

Verwandte Fachgebiete:

Molekularbiologie, Biophysik

Webseite:

https://www.birs.ca/events/2021/5-day-workshops/21w5154

Gravitational Emergence in AdS/CFT

24. Okt 2021 - 29. Okt 2021 • Banff Centre in Alberta, Kanada

Veranstalter:

Banff International Research Station for Mathematical Innovation and Discovery (BIRS)

Zusammenfassung:

An outstanding problem of modern physics is the reconciliation of the two most successful broad theories of physics: general relativity, which describes the gravitational force exerted by massive objects in terms of the bending and rippling of spacetime, and quantum mechanics, which describes the behavior of matter on the minute scales of subatomic particles such as electrons. While both theories are remarkably successful independently, they appear to give contradictory predictions of phenomena that involve gravity at the small scales at which quantum mechanics is relevant. Such phenomena include the Big Bang, when the universe was small enough to be described by quantum mechanics and sufficiently dense to also require a gravitational description; also the process of the final stages of the death of a large star, when a black hole is formed and the star’s matter is concentrated in an extremely small volume. A proper description of these phenomena requires a unified theory of quantum gravity.

Eintrags-ID:

1364489

Verwandte Fachgebiete:

Teilchenphysik und Felder

Webseite:

https://www.birs.ca/events/2021/5-day-workshops/21w5136

Statistical Aspects of Non-Linear Inverse Problems

31. Okt 2021 - 05. Nov 2021 • Banff Centre in Alberta, Kanada

Veranstalter:

Banff International Research Station for Mathematical Innovation and Discovery (BIRS)

Zusammenfassung:

Nonlinear inverse problems are ubiquitous in medical sciences, engineering, physics and other natural sciences. This workshop will advance a statistical paradigm that allows underpinning statistical decision making in such problems in a scientifically rigorous way. This will be achieved by providing `frequentist' large sample guarantees for inferences arising from commonly used (Bayesian or non-Bayesian) algorithms in such problems. Thereby, a large cluster of applied problems, where algorithms are used for day-to-day decision making with statistical data, will be put on a solid and robust foundation, facilitating its confident use in modern society.

Eintrags-ID:

1364444

Verwandte Fachgebiete:

Algebra, Statistik, Spieltheorie

Webseite:

https://www.birs.ca/events/2021/5-day-workshops/21w5009

Locally Conformal Symplectic Manifolds: Interactions and Applications

07. Nov 2021 - 12. Nov 2021 • Banff Centre in Alberta, Kanada

Veranstalter:

Banff International Research Station for Mathematical Innovation and Discovery (BIRS)

Zusammenfassung:

Our workshop aims at bringing together established and young mathematicians working in complex analytic, differential and symplectic geometry, as well as in geometric PDE's, in an attempt to produce a road-map for future research in the domain of LCS manifold. By focussing during a single week on the topological, differential geometric and complex analytic aspects of the theory of locally symplectic manifolds, we hope to provide the necessary synergy for a substantial future progress in the field. A problem session will be organized at the end of the workshop.

Eintrags-ID:

1364432

Verwandte Fachgebiete:

Festkörperphysik

Webseite:

https://www.birs.ca/events/2021/5-day-workshops/21w5049

Basic Functions, Orbital Integrals, and Beyond Endoscopy

14. Nov 2021 - 19. Nov 2021 • Banff Centre in Alberta, Kanada

Veranstalter:

Banff International Research Station for Mathematical Innovation and Discovery (BIRS)

Zusammenfassung:

The Functoriality conjectures, formulated by Langlands in 1967, have been a driving force behind much of the work in both Number theory and Representation theory in the last 50 years. This workshop will explore a relatively new approach to the conjectures stemming from Langlands' recent proposal called ``Beyond Endoscopy''. This proposal has since blossomed in the work of many mathematicians and has produced very interesting recent results in several areas of mathematics from algebraic geometry through representation theory to analytic number theory.

Eintrags-ID:

1364431

Verwandte Fachgebiete:

Zahlentheorie, Arithmetik, Algebra

Webseite:

https://www.birs.ca/events/2021/5-day-workshops/21w5228

Graph Product Structure Theory

21. Nov 2021 - 26. Nov 2021 • Banff Centre in Alberta, Kanada

Veranstalter:

Banff International Research Station for Mathematical Innovation and Discovery (BIRS)

Zusammenfassung:

Graphs are the standard mathematical model of many real-world entities: computer networks, road and highway networks, drainage systems, river networks, electrical networks, and so on. In some cases, these highly-complicated graphs are contained in the product of two or more much simpler graphs. In a recent breakthrough, it was shown that this is the case for planar or near-planar graphs like those that model river, road, and highway networks; any such graph is contained in the product of a simple tree-like graph and a path. This product structure gives deep insight into these graphs and their properties, allowing a host of mathematical and algorithmic tools to be applied to these graphs. The goal of this workshop is to continue the search for product structure in more general classes of graphs as well as to find new methods to exploit such product structure mathematically and algorithmically, when it is present.

Eintrags-ID:

1364507

Verwandte Fachgebiete:

Graphentheorie und Kombinatorik

Webseite:

https://www.birs.ca/events/2021/5-day-workshops/21w5235

Mathematical Statistics and Learning

28. Nov 2021 - 03. Dez 2021 • Banff Centre in Alberta, Kanada

Veranstalter:

Banff International Research Station for Mathematical Innovation and Discovery (BIRS)

Zusammenfassung:

The workshop focuses on the novel mathematical challenges of statistics and machine learning. The spectacular success of machine learning in a wide range of applications opens many exciting theoretical challenges in a number of mathematical fields, including probability, statistics, combinatorics, optimization, and geometry. BIRS will bring together researchers of machine learning and mathematical statistics to discuss these problems. The principal topics include combinatorial statistics, online learning, and deep neural networks.

Eintrags-ID:

1364528

Verwandte Fachgebiete:

Neuronale Netze und Künstliche Intelligenz, Maschinelles Lernen, Mustererkennung und Bildverarbeitung, Maschinelles Sehen

Webseite:

https://www.birs.ca/events/2021/5-day-workshops/21w5070

Mini-school on Model Theory and Combinatorics

02. Dez 2021 - 03. Dez 2021 • The Fields Institute –Toronto, Ontario, Kanada

Veranstalter:

The Fields Institute for Research in Mathematical Sciences

Zusammenfassung:

Scheduled as part of the Thematic Program on Trends in Pure and Applied Model Theory

Eintrags-ID:

1386074

Verwandte Fachgebiete:

Algebra, Graphentheorie und Kombinatorik

Webseite:

http://www.fields.utoronto.ca/activities/21-22/model-theory-comb-minischool

Workshop on Model Theory and Combinatorics

06. Dez 2021 - 10. Dez 2021 • The Fields Institute –Toronto, Ontario, Kanada

Veranstalter:

The Fields Institute for Research in Mathematical Sciences

Eintrags-ID:

1386051

Verwandte Fachgebiete:

Algebra, Graphentheorie und Kombinatorik

Webseite:

http://www.fields.utoronto.ca/activities/21-22/model-theory-comb

BIRS Workshop — Dynamical Principles of Biological and Artificial Neural Networks

09. Jan 2022 - 14. Jan 2022 • Banff, Alberta, Kanada

Veranstalter:

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Zusammenfassung:

Despite these recent successes at the neuroscience-AI intersection, there are many deep mathematical questions still to answer: 1) given their enormous size and complexity, how can we understand the operations performed by a fully-trained deep learning algorithm, or (analogously) an animal’s brain?; 2) how does the dynamics of activations within biological and artificial neural networks evolve and interact over different timescales (seconds, hours, days, etc.)?; 3) how does randomness in the environment and/or within the neuronal networks themselves contribute to the function of these networks?; 4) what features most enhance (or degrade) the computational power of neuronal networks?; 5) how do brains and AI systems reason in the face of uncertainty? This upcoming BIRS workshop will bring together AI researchers, neuroscientists, and mathematicians, to answer these questions. In so doing, it aims to advance all three of those disciplines, leading to better AI algorithms, and potentially better diagnosis and treatment of those with brain disorders.

Eintrags-ID:

1438890

Verwandte Fachgebiete:

Neuronale Netze und Künstliche Intelligenz, Maschinelles Lernen, Systembiologie und mathematische Biologie

Webseite: