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1

Geometric and Topological Combinatorics: Modern Techniques and Methods

09 Oct 2017 - 13 Oct 2017 • Mathematical Sciences Research Institute, Berkeley, United States

Abstract:

This workshop will focus on the interaction between Combinatorics, Geometry and Topology, including recent developments and techniques in areas such as: polytopes and cell complexes; simplicial complexes and higher order graph theory; methods from equivariant topology and configuration spaces; geometric combinatorics in optimization and social choice theory; algebraic and algebro-geometric methods.

Event listing ID:

832287

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2

AGNES — Algebraic Geometry Northeastern Series

13 Oct 2017 - 15 Oct 2017 • Boston, MA, United States

Abstract:

AGNES is a series of weekend workshops in algebraic geometry. One of our goals is to introduce graduate students to a broad spectrum of current research in algebraic geometry. AGNES is held biannually at the participating universities in the Northeast.

Event listing ID:

932999

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3

Western Algebraic Geometry Symposium

14 Oct 2017 - 15 Oct 2017 • Los Angeles, CA, United States

Abstract:

Western Algebraic Geometry Symposium (WAGS), at UCLA.

Event listing ID:

917498

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4

Geometric Functional Analysis and Applications

13 Nov 2017 - 17 Nov 2017 • Mathematical Sciences Research Institute, Berkeley, United States

Abstract:

This is the main workshop of the program "Geometric functional analysis and applications". It will focus on the main topics of the program. These include: Convex geometry, Asymptotic geometric analysis, Interaction with computer science, Signal processing, Random matrix theory and other aspects of Probability.

Event listing ID:

832318

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5

Enumerative Geometry Beyond Numbers

16 Jan 2018 - 25 May 2018 • Mathematical Sciences Research Institute, Berkeley, United States

Abstract:

Traditional enumerative geometry asks certain questions to which the expected answer is a number: for instance, the number of lines incident with two points in the plane (1, Euclid), or the number of twisted cubic curves on a quintic threefold (317 206 375). It has however been recognized for some time that the numerics is often just the tip of the iceberg: a deeper exploration reveals interesting geometric, topological, representation-, or knot-theoretic structures. This semester-long program will be devoted to these hidden structures behind enumerative invariants, concentrating on the core fields where these questions start: algebraic and symplectic geometry.

Event listing ID:

832346

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6

ICERM Semester Workshop: Computation and Optimization of Energy, Packing, and Covering

09 Apr 2018 - 13 Apr 2018 • Providence, RI, United States

Abstract:

The packing and covering of equal geometric shapes, such as spheres or convex polyhedra, are classical geometric optimization problems. They have a long mathematical tradition and were for instance part of Hilbert's famous twenty-three problems for the 20th century. Nevertheless, seemingly simple packing and covering problems are still extremely hard to solve and generally, far from a solution. Likewise, minimal energy problems for pair potentials, of which best-packing is a special case, have many such unresolved questions. However, in recent years several new developments with computer assisted approaches have led to previously unexpected breakthrough results. These involve massive computer searches and techniques from numerical optimization, as well as the creation and application of new optimization techniques, such as specific semi-definite programming bounds. New techniques for computer assisted certified proofs allow one to obtain results that would otherwise have been difficult, if not impossible, to check.

Event listing ID:

943662

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7

ICERM Topical Workshop: Birational Geometry and Arithmetic

14 May 2018 - 18 May 2018 • Providence, RI, United States

Abstract:

Recent developments in the minimal model program in positive characteristic and birational geometry have found purchase within Arithmetic Geometry, e.g., around questions of exceptional sets involved in Manin's conjecture on points of bounded height. In turn, arithmetic perspectives afforded by Manin's conjecture are starting to shed light on the geometry of spaces of rational curves. Our goal in this workshop is to bring together two camps of geometers (birational and arithmetic) who have had few opportunities to interact on a large scale. The points of contact so far are amenable to explicit computations, e.g., determination of presentations of Cox rings for Fano varieties, finite field method applications to stable rationality problems, algorithms to compute Peyre's constant in Manin's conjecture, point counts on spaces of rational curves, and these computational problems will form an important component of the workshop, which will be complemented with theoretical developments.

Event listing ID:

943682

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8

Crossing the Walls in Enumerative Geometry

21 May 2018 - 01 Jun 2018 • Snowbird, UT, United States

Abstract:

Crossing the Walls in Enumerative Geometry .

Event listing ID:

923327

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9

Summer Graduate School: From Symplectic Geometry to Chaos

23 Jul 2018 - 03 Aug 2018 • Mathematical Sciences Research Institute, Berkeley, United States

Abstract:

The purpose of the summer school is to introduce graduate students to state-of-the-art methods and results in Hamiltonian systems and symplectic geometry. We focus on recent developments on the study of chaotic motion in Hamiltonian systems and its applications to models in Celestial Mechanics.

Event listing ID:

881814

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10

Derived Algebraic Geometry

22 Jan 2019 - 24 May 2019 • Mathematical Sciences Research Institute, Berkeley, United States

Abstract:

Derived algebraic geometry is an extension of algebraic geometry that provides a convenient framework for directly treating non-generic geometric situations (such as non-transverse intersections in intersection theory), in lieu of the more traditional perturbative approaches (such as the "moving" lemma). This direct approach, in addition to being conceptually satisfying, has the distinct advantage of preserving the symmetries of the situation, which makes it much more applicable. In particular, in recent years, such techniques have found applications in diverse areas of mathematics, ranging from arithmetic geometry, mathematical physics, geometric representation theory, and homotopy theory. This semester long program will be dedicated to exploring these directions further, and finding new connections.

Event listing ID:

881879

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11

Birational Geometry and Moduli Spaces

22 Jan 2019 - 24 May 2019 • Mathematical Sciences Research Institute, Berkeley, United States

Abstract:

Birational Geometry and Moduli Spaces are two important areas of Algebraic Geometry that have recently witnessed a flurry of activity and substantial progress on many fundamental open questions. In this program we aim to bring together key researchers in these and related areas to highlight the recent exciting progress and to explore future avenues of research. This program will focus on the following themes: Geometry and Derived Categories, Birational Algebraic Geometry, Moduli Spaces of Stable Varieties, Geometry in Characteristic p>0, and Applications of Algebraic Geometry: Elliptic Fibrations of Calabi-Yau Varieties in Geometry, Arithmetic and the Physics of String Theory.

Event listing ID:

881823

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Last updated: 10 September 2017