2019
Dec
02

# NT Seminar - Howard Nuer

2:30pm to 3:30pm

## Location:

Ross 70

Title:Cubic Fourfolds: Rationality and Derived Categories

Read more about NT Seminar - Howard Nuer

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2019
Dec
02

2:30pm to 3:30pm

Ross 70

Title:Cubic Fourfolds: Rationality and Derived Categories

Read more about NT Seminar - Howard Nuer

2019
Dec
09

2:30pm to 3:30pm

Ross 70

Title: The generalized doublingmethod and its applications

Abstract: The doubling method,first introduced by Piatetski-Shapiro and Rallis in the 80s, has had numerousapplications, e.g. to the theta correspondence and to arithmetic problems.In a series of recent works this method was generalized in severalaspects, with an application to functoriality from classical groups to GL(N).The most recent result is a multiplicityone theorem (joint work with Gourevitch and Aizenbud).

I will brieflysurvey the method and talk about some of its applications.

2019
Nov
27

2019
Dec
16

2019
Dec
26

10:00am to 11:00am

2019
Dec
24

2:30pm to 3:30pm

Abstract:

A restricted permutation of a locally finite directed graph $G=(V,E)$ is a vertex permutation $\pi: V\to V$ for which $(v,\pi(v))\in E$, for any vertex $v\in V$. The set of such permutations, denoted by $\Omega(G)$, with a group action induced from a subset of graph isomorphisms form a topological dynamical system. In the particular case presented by Schmidt and Strasser (2016), where $V=\mathbb{Z}^d$ and $(n,m)\in E$ iff $(n-m)\in A$ ($A\subseteq \mathbb{Z^d}$ is fixed), $\Omega(G)$ is a subshift of finite type.

A restricted permutation of a locally finite directed graph $G=(V,E)$ is a vertex permutation $\pi: V\to V$ for which $(v,\pi(v))\in E$, for any vertex $v\in V$. The set of such permutations, denoted by $\Omega(G)$, with a group action induced from a subset of graph isomorphisms form a topological dynamical system. In the particular case presented by Schmidt and Strasser (2016), where $V=\mathbb{Z}^d$ and $(n,m)\in E$ iff $(n-m)\in A$ ($A\subseteq \mathbb{Z^d}$ is fixed), $\Omega(G)$ is a subshift of finite type.

2020
Jan
15

12:00pm to 1:00pm

Ross 70

We consider a system of N points evolving according to the gradient flow of their Coulomb or Riesz interaction, or a similar conservative flow. By Riesz interaction, we mean inverse power s of the distance with s between d-2 and d where d denotes the dimension. We show a convergence result as N tends to infinity to the expected limiting evolution equation. This was previously an open question in general dimension, rendered difficult by the singular nature of the interaction. We will also discuss briefly similar results in the context of models of superfluidity and superconductivity.

2020
Jan
07

2:00pm to 3:00pm

hyperbolic systems preserving an infinite measure making a particular

emphasis on mixing for extended systems. This talk is based on a joint

work with Peter Nandori.

2019
Dec
17

2:00pm to 3:00pm

Ross 70

Abstract: A subset of the integers P is called predictive if for all zero-entropy processes X_i; i in Z, X_0 can be determined by X_i; i in P. The classical formula for entropy shows that the set of natural numbers forms a predictive set. In joint work with Benjamin Weiss, we will explore some necessary and some sufficient conditions for a set to be predictive. These sets are related to Riesz sets (as defined by Y. Meyer) which arise in the study of singular measures. This and several questions will be discussed during the talk.

2020
Jan
16

Sylvia Serfaty

2:30pm to 4:30pm

Manchester House, Lecture Hall 2

Large ensembles of points with Coulomb interactions arise in various settings of condensed matter physics, classical and quantum mechanics, statistical mechanics, random matrices and even approximation theory, and they give rise to a variety of questions pertaining to analysis, Partial Differential Equations and probability.We will first review these motivations, then present the ''mean-field'' derivation of effective models and equations describing the system at the macroscopic scale.

2020
Jan
15

Sylvia Serfaty

12:00pm to 2:00pm

Ross 70

We consider a system of N points evolving according to the gradient flow of their Coulomb or Riesz interaction, or a similar conservative flow. By Riesz interaction, we mean inverse power s of the distance with s between d-2 and d where d denotes the dimension. We show a convergence result as N tends to infinity to the expected limiting evolution equation. This was previously an open question in general dimension, rendered difficult by the singular nature of the interaction. We will also discuss briefly similar results in the context of models of superfluidity and superconductivity.

2019
Nov
21

2020
Jan
15

Prof. Sylvia Serfaty (Courant Institute of Mathematical Sciences)

Wed, 15/01/2020 - 12:00 to Thu, 16/01/2020 - 16:00

2019
Nov
20

11:00am to 1:00pm

Ross building - Room 63

I will present work in progress in a new NSOP1 nonsimple theory: the expansion of an abelian variety by a generic subgroup, under some conditions on the endomorphism ring.