Conférences - Algèbre - États-Unis

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1
Summer Graduate School — Random Conformal Geometry
19 jul 2021 - 30 sep 2021 • Berkeley, Californie, États-Unis
Organisateur:
MRSI – Mathematical Sciences Research Institute, Berkeley
Résumé:
This Summer Graduate School will cover basic tools that are instrumental in Random Conformal Geometry (the investigation of analytic and geometric objects that arise from natural probabilistic constructions, often motivated by models in mathematical physics) and are at the foundation of the subsequent semester-long program "The Analysis and Geometry of Random Spaces". Specific topics are Conformal Field Theory, Brownian Loops and related processes, Quasiconformal Maps, as well as Loewner Energy and Teichmüller Theory.
Identifiant de l'évènement:
1376555
2
NSF-CBMS Regional Research Conference: Gaussian Random Fields, Fractals, Stochastic Partial Differential Equations, and Extremes
02 aou 2021 - 06 aou 2021 • Huntsville, États-Unis
Organisateur:
University of Alabama, Huntsville
Identifiant de l'évènement:
1376428
3
D-modules, Group Actions, and Frobenius: Computing on Singularities
09 aou 2021 - 13 aou 2021 • Providence, RI, États-Unis
Organisateur:
ICERM
Résumé:
The adoption of D-module techniques has transformed the interface between commutative algebra and algebraic geometry over the last two decades. The discovery of interactions and parallels with the Frobenius morphism has been an impetus for many new results, include new invariants attached to singularities but also D- and F-module based algorithms for computing quantities that used to be unattainable. Our goal for this workshop is to discuss computational aspects and new challenges in singularity theory, focusing on special varieties that arise from group actions, canonical maps, or universal constructions. By bringing together geometers, algebraists, and invariant theorists, we will address problems from multiple perspectives. These will include comparisons of composition chains for D- and F-modules, the impact of group actions on singularity invariants, and the structure of differential operators on singularities in varying characteristics.
Contact:
Email.: info@icerm.brown.edu
Identifiant de l'évènement:
1414874
4
UIRM — Universality and Integrability in Random Matrix Theory and Interacting Particle Systems
16 aou 2021 - 17 aou 2021 • Berkeley, Californie, États-Unis
Organisateur:
Mathematical Sciences Research Institute, Berkeley
Identifiant de l'évènement:
1376402
Sujets apparentés:
5
AG21 — SIAM Conference on Applied Algebraic Geometry
16 aou 2021 - 20 aou 2021 • Texas A&M University, College Station, Texas, États-Unis
Organisateur:
Society for Industrial and Applied Mathematics (SIAM)
Identifiant de l'évènement:
1376447
Sujets apparentés:
6
Connections Workshop: Universality and Integrability in Random Matrix Theory and Interacting Particle Systems
18 aou 2021 - 20 aou 2021 • Berkeley, Californie, États-Unis
Organisateur:
Mathematical Sciences Research Institute, Berkeley
Résumé:
This workshop will focus on cutting-edge research in random matrices and integrable probability. We will explore connections with other branches of mathematics and applications to sciences and engineering. The workshop will feature presentations by both leading researchers and promising newcomers.
Identifiant de l'évènement:
1376456
7
Introductory Workshop: Universality and Integrability in Random Matrix Theory and Interacting Particle Systems
23 aou 2021 - 27 aou 2021 • Berkeley, Californie, États-Unis
Organisateur:
Mathematical Sciences Research Institute, Berkeley
Résumé:
The introductory workshop aims at providing participants with an overview of some of the recent developments in the topics of the semester, with a particular emphasis on universality and applications. This includes universality for Wigner matrices and band matrices and quantum unique ergodicity, universality for beta ensembles and log/coulomb gases, KPZ universality class, universality in interacting particle systems, the connection between random matrices and number theory.
Identifiant de l'évènement:
1376477
8
Workshop — Regularity Theory for Minimal Surfaces and Mean Curvature Flow
20 sep 2021 - 24 sep 2021 • Berkeley, Californie, États-Unis
Organisateur:
MRSI – Mathematical Sciences Research Institute, Berkeley
Résumé:
This workshop will explore connections between the regularity theory of minimal surfaces and of mean curvature flow. Recent breakthroughs have improved our understanding of singularity formation in both settings but the current research trends are becoming increasingly disparate. Experts from both areas will present their research and there will be ample free time to establish connections between the topics.
Identifiant de l'évènement:
1376535
9
Integrable structures in random matrix theory and beyond
18 oct 2021 - 22 oct 2021 • Berkeley, Californie, États-Unis
Organisateur:
Mathematical Sciences Research Institute (MSRI)
Résumé:
This workshop will focus on the integrable aspect of random matrix theory and other related probability models such as random tilings, directed polymers, and interacting particle systems. The emphasis is on communicating diverse algebraic structures in these areas which allow the asymptotic analysis possible. Some of such structures are determinantal point processes, Toeplitz and Hankel determinants, Bethe ansatz, Yang-Baxter equation, Karlin-McGregor formula, Macdonald process, and stochastic six vertex model.
Identifiant de l'évènement:
1307760
10
AIM Workshop: Stability in mirror symmetry
25 oct 2021 - 29 oct 2021 • American Institute of Mathematics, San Jose, États-Unis
Résumé:
This workshop, sponsored by AIM and the NSF, will bring together mathematicians from a variety of backgrounds to discuss a central problem in mirror symmetry: the existence of special Lagrangian submanifolds, and their holomorphic mirrors, stable vector bundles.
Identifiant de l'évènement:
1435849
11
Foam Evaluation
05 nov 2021 - 07 nov 2021 • ICERM, Providence, États-Unis
Résumé:
The purpose of this workshop is to bring together mathematicians interested in foams and their use in low-dimensional topology, representation theory, categorification, mathematical physics, and combinatorics. The workshop will focus on the foam evaluation formula and its applications. More concretely, we aim to: (a) Give a more intrinsic definition of the foam evaluation, in order, for instance, to find similar formulas for the other Lie types; (b) Understand the interplay between foams and matrix factorizations and further use foams for a unified and comprehensive approach to Khovanov-Rozansky link homology theories; (c) Compare combinatorial foam evaluation with the geometric structures and invariants coming from gauge theory and symplectic geometry; (d) Study potential applications of the foamy definition of link homology theories. This workshop is fully funded by a Simons Foundation Targeted Grant to Institutes.
Identifiant de l'évènement:
1423094
Sujets apparentés:
12
The Analysis and Geometry of Random Spaces
18 jan 2022 - 27 mai 2022 • Mathematical Sciences Research Institute, Berkeley, États-Unis
Résumé:
This program is devoted to the investigation of universal analytic and geometric objects that arise from natural probabilistic constructions, often motivated by models in mathematical physics. Prominent examples for recent developments are the Schramm-Loewner evolution, the continuum random tree, Bernoulli percolation on the integers, random surfaces produced by Liouville Quantum Gravity, and Jordan curves and dendrites obtained from random conformal weldings and laminations. The lack of regularity of these random structures often results in a failure of classical methods of analysis. One goal of this program is to enrich the analytic toolbox to better handle these rough structures.
Identifiant de l'évènement:
1423222
13
Connections Workshop: The Analysis and Geometry of Random Spaces
20 jan 2022 - 21 jan 2022 • Mathematical Sciences Research Institute, Berkeley, États-Unis
Résumé:
The Connections Workshop will feature talks on a variety of topics related to the analysis and geometry of random spaces. It will preview the research themes of the semester program and will highlight the work of women in the field. There will be a panel discussion as well as other social events. This workshop is directly prior to the Introductory Workshop, and participants are encouraged to participate in both workshops. This workshop is open to all mathematicians.
Identifiant de l'évènement:
1423210
14
Quantum Numerical Linear Algebra
24 jan 2022 - 27 jan 2022 • Institute for Pure and Applied Mathematics (IPAM), Los Angeles, États-Unis
Résumé:
This workshop brings together leading experts in quantum numerical linear algebra, to discuss the recent development of quantum algorithms to perform linear algebra tasks for solving challenging problems in science and engineering and for various industrial and technological applications.
Identifiant de l'évènement:
1423231
15
Introductory Workshop: The Analysis and Geometry of Random Spaces
24 jan 2022 - 28 jan 2022 • Mathematical Sciences Research Institute, Berkeley, États-Unis
Résumé:
This workshop will introduce some of the major themes in probability and geometric analysis that will be relevant for the semester-long program. A series of short mini-courses will give participants the opportunity to learn about important subjects such as the Schramm-Loewner evolution (SLE) or the Gaussian free field (GFF), for example. The workshop will also include "visionary" lectures by prominent researchers who will outline fruitful directions for future research.
Identifiant de l'évènement:
1423296
16
Braids in symplectic and algebraic geometry
21 mar 2022 - 25 mar 2022 • Providence, RI, États-Unis
Organisateur:
ICERM
Résumé:
Incarnations of braid groups, or generalizations thereof, naturally arise in a range of active research areas in symplectic and algebraic geometry. This is a rich and diverse ecosystem, and the workshop will aim to bring together speakers from all corners of it. A unifying theme is monodromy: one the one hand, generalized braid groups arise in symplectic and algebraic geometry as fundamental groups of moduli spaces, loosely construed -- for instance, of complements of discriminant loci of singularities or of hyperplane arrangements, or moduli spaces of deformations of complex or symplectic structures. On the other hand, monodromy ideas motivate representations of generalized braid groups as various flavors of geometric automorphisms -- for instance, as (framed) mapping class group elements, symplectic Dehn twists, spherical twists in derived categories, or flop functors for 3-folds. These perspectives lead in turn to a wide array of further geometric applications, from classifications of Stein fillings to the study of spaces of Bridgeland stability conditions.

From a community perspective, one aim of the workshop is to bring together mathematicians from adjacent research communities with a shared interest in braids as they arise in symplectic or algebraic geometry. We hope the conference will accelerate the cross-pollination of ideas, and help foster collaborations, at what is a very exciting time for the field. Much of this research also lies at an interface with other aspects of the thematic semester -- for instance, braids in representation theory (e.g. in connection with cluster algebras or Bridgeland stability conditions), or in low-dimensional topology (e.g. in connection with monodromies of open books) -- and many of the talks should be of interest to a broader set of semester participants.

Contact:
Tél.: [401 863 5030];     Email.: info@icerm.brown.edu
Identifiant de l'évènement:
1417345
17
The Analysis and Geometry of Random Spaces
28 mar 2022 - 01 avr 2022 • Mathematical Sciences Research Institute, Berkeley, États-Unis
Résumé:
The aim of this workshop is to bring together researchers whose work contributes to the study of random structures that exhibit some form of conformal self-similarity. Notable examples include the Schramm-Loewner evolution SLE, the Brownian map and random trees, Liouville Quantum Gravity, and Conformal Field Theory. A particular focus will be the discussion of analytic tools needed to address the challenges arising from the often rough underlying sets and spaces.
Identifiant de l'évènement:
1423353
18
Adventurous Berkeley Complex Dynamics
02 mai 2022 - 06 mai 2022 • Mathematical Sciences Research Institute, Berkeley, États-Unis
Résumé:
This workshop will focus on complex dynamics in one and several variables. We will bring toghether experts in rational dynamics, transcendental dynamics, and dynamics in several complex variables in order to get new perspective and foster discussions in a warm and stimulating atmosphere. A special focus will be put on the interactions between one dimensional and higher dimensional complex dynamics, and on connections with adjacent areas of mathematics.
Identifiant de l'évènement:
1423449
19
Program — Floer Homotopy Theory (FHT).
15 aou 2022 - 16 dec 2022 • Mathematical Sciences Research Institute, Berkeley, États-Unis
Résumé:
The development of Floer theory in its early years can be seen as a parallel to the emergence of algebraic topology in the first half of the 20th century, going from counting invariants to homology groups, and beyond that to the construction of algebraic structures on these homology groups and their underlying chain complexes. In continuing work that started in the latter part of the 20th century, algebraic topologists and homotopy theorists have developed deep methods for refining these constructions, motivated in large part by the application of understanding the classification of manifolds. The goal of this program is to relate these developments to Floer theory with the dual aims of (i) making progress in understanding symplectic and low-dimensional topology, and (ii) providing a new set of geometrically motivated questions in homotopy theory.
Identifiant de l'évènement:
1366881
20
FHT – Program — Floer Homotopy Theory
15 aou 2022 - 16 dec 2022 • Berkeley, Californie, États-Unis
Organisateur:
MRSI – Mathematical Sciences Research Institute, Berkeley
Résumé:
The development of Floer theory in its early years can be seen as a parallel to the emergence of algebraic topology in the first half of the 20th century, going from counting invariants to homology groups, and beyond that to the construction of algebraic structures on these homology groups and their underlying chain complexes. In continuing work that started in the latter part of the 20th century, algebraic topologists and homotopy theorists have developed deep methods for refining these constructions, motivated in large part by the application of understanding the classification of manifolds. The goal of this program is to relate these developments to Floer theory with the dual aims of (i) making progress in understanding symplectic and low-dimensional topology, and (ii) providing a new set of geometrically motivated questions in homotopy theory.
Identifiant de l'évènement:
1376492


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Dernière mise à jour: 28 Juillet 2021