Kurse und Veranstaltungen für Studenten der Mathematik in den Vereinigten Staaten (USA)

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1
Summer Graduate School — Sparsity of Algebraic Points
07. Jun 2021 - 18. Jul 2021 • Berkeley, Kalifornien, Vereinigte Staaten
Veranstalter:
MRSI – Mathematical Sciences Research Institute, Berkeley
Zusammenfassung:
This summer school will introduce the participants to two of the main techniques in the subject: (i) the filtration method to prove algebraic degeneracy of integral points by means of the subspace theorem, leading to special cases of conjectures by Bombieri, Lang, and Vojta, and (ii) unlikely intersections through o-minimality and bi-algebraic geometry, leading to results in the context of the Manin-Mumford conjecture, the André-Oort conjecture, and generalizations. This SGS should provide an entry point to a very active research area in modern number theory.
Eintrags-ID:
1376583
Verwandte Fachgebiete:
2
Summer Graduate School — Mathematics of Big Data: Sketching and (Multi-) Linear Algebra
21. Jun 2021 - 02. Jul 2021 • Berkeley, Kalifornien, Vereinigte Staaten
Veranstalter:
MRSI – Mathematical Sciences Research Institute, Berkeley
Zusammenfassung:
This summer school will introduce graduate students to sketching-based approaches to computational linear and multi-linear algebra. Sketching here refers to a set of techniques for compressing a matrix, to one with fewer rows, or columns, or entries, usually via various kinds of random linear maps. We will discuss matrix computations, tensor algebras, and such sketching techniques, together with their applications and analysis.
Eintrags-ID:
1376584
3
Summer Graduate School — Gauge Theory in Geometry and Topology
05. Jul 2021 - 16. Jul 2021 • Berkeley, Kalifornien, Vereinigte Staaten
Veranstalter:
MRSI – Mathematical Sciences Research Institute, Berkeley
Zusammenfassung:
The goal of the summer school is to introduce students to the foundational aspects of gauge theory, and explore their relations to geometric analysis and low-dimensional topology. By the end of the two-week program, the students will understand the relevant analytic and geometric aspects of several partial differential equations of current interest (including the Yang-Mills ASD equations, the Seiberg-Witten equations, and the Hitchin equations) and some of their most impactful applications to problems in geometry and topology.
Eintrags-ID:
1376510
Verwandte Fachgebiete:
4
Summer Graduate School — Random Conformal Geometry
19. Jul 2021 - 30. Sep 2021 • Berkeley, Kalifornien, Vereinigte Staaten
Veranstalter:
MRSI – Mathematical Sciences Research Institute, Berkeley
Zusammenfassung:
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.
Eintrags-ID:
1376544
Verwandte Fachgebiete:
5
Connections Workshop: Universality and Integrability in Random Matrix Theory and Interacting Particle Systems
18. Aug 2021 - 20. Aug 2021 • Berkeley, Kalifornien, Vereinigte Staaten
Veranstalter:
Mathematical Sciences Research Institute, Berkeley
Zusammenfassung:
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.
Eintrags-ID:
1376412
Verwandte Fachgebiete:
6
Introductory Workshop: Universality and Integrability in Random Matrix Theory and Interacting Particle Systems
23. Aug 2021 - 27. Aug 2021 • Berkeley, Kalifornien, Vereinigte Staaten
Veranstalter:
Mathematical Sciences Research Institute, Berkeley
Zusammenfassung:
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.
Eintrags-ID:
1376466
Verwandte Fachgebiete:
7
COMD – Semester — Complex Dynamics: from special families to natural generalizations in one and several variables
18. Jan 2022 - 27. Mai 2022 • Berkeley, Kalifornien, Vereinigte Staaten
Veranstalter:
MRSI – Mathematical Sciences Research Institute, Berkeley
Zusammenfassung:
Holomorphic dynamics is a vibrant field of mathematics that has seen profound progress over the past 40 years. It has numerous interconnections to other fields of mathematics and beyond. Our semester will focus on three selected classes of dynamical systems: rational maps (postcritically finite and beyond); transcendental maps; and maps in several complex variables. We will put particular emphasis on the interactions between each these, and on connections with adjacent areas of mathematics.
Eintrags-ID:
1376537


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Stand vom 18. September 2020