Konferenzen zum Thema Geometrie und Topologie in den Vereinigten Staaten (USA)

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1
Geometric Functional Analysis and Applications
13. Nov 2017 - 17. Nov 2017 • Mathematical Sciences Research Institute, Berkeley, Vereinigte Staaten
Zusammenfassung:
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.
Eintrags-ID:
832274
Verwandte Fachgebiete:
2
Enumerative Geometry Beyond Numbers
16. Jan 2018 - 25. Mai 2018 • Mathematical Sciences Research Institute, Berkeley, Vereinigte Staaten
Zusammenfassung:
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.
Eintrags-ID:
832280
3
ICERM Semester Workshop: Computation and Optimization of Energy, Packing, and Covering
09. Apr 2018 - 13. Apr 2018 • Providence, RI, Vereinigte Staaten
Zusammenfassung:
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.
Eintrags-ID:
943706
4
ICERM Topical Workshop: Birational Geometry and Arithmetic
14. Mai 2018 - 18. Mai 2018 • Providence, RI, Vereinigte Staaten
Zusammenfassung:
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.
Eintrags-ID:
943726
5
Crossing the Walls in Enumerative Geometry
21. Mai 2018 - 01. Jun 2018 • Snowbird, UT, Vereinigte Staaten
Zusammenfassung:
Crossing the Walls in Enumerative Geometry .
Eintrags-ID:
923338
6
Summer Graduate School: From Symplectic Geometry to Chaos
23. Jul 2018 - 03. Aug 2018 • Mathematical Sciences Research Institute, Berkeley, Vereinigte Staaten
Zusammenfassung:
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.
Eintrags-ID:
881825
7
Derived Algebraic Geometry
22. Jan 2019 - 24. Mai 2019 • Mathematical Sciences Research Institute, Berkeley, Vereinigte Staaten
Zusammenfassung:
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.
Eintrags-ID:
881857
Verwandte Fachgebiete:
8
Birational Geometry and Moduli Spaces
22. Jan 2019 - 24. Mai 2019 • Mathematical Sciences Research Institute, Berkeley, Vereinigte Staaten
Zusammenfassung:
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.
Eintrags-ID:
881834
Verwandte Fachgebiete:

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AIP Conference Proceedings

Stand vom 10. September 2017