2020
Jan
18

# Past Events

- 2020 Jan 16
# Basic Notions: Cy Maor (HUJI) "Infinite dimensionalRiemannian geometry in hydrodynamics and shape analysis".

4:00pm to 5:15pm## Location:

Ross 70In the mid-18th century, Euler derived hisfamous equations of motion of an incompressible fluid, one of the most studiedequations in hydrodynamics. More than 200 years later, in 1966, Arnold observedthat they are, in fact, geodesic equations on the (infinite dimensional)Lie group of volume-preserving diffeomorphisms of a manifold, endowed with acertain right-invariant Riemannian metric. - 2020 Jan 16
# Dvoretzky Lectures: Systems of points with Coulomb interactions

## Lecturer:

Sylvia Serfaty2:30pm to 4:30pm## Location:

Manchester House, Lecture Hall 2Large 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 16
# Colloquium Dvoretzky lecture: Sylvia Serfaty (NYU): Systems of points with Coulomb interactions

2:30pm to 3:30pm## Location:

Manchester Building (Hall 2), Hebrew University Jerusalem**Title:**Systems of points with Coulomb interactions**Abstract:**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. - 2020 Jan 16
# Lev Glebsky (UASLP): Residually finite by residually finite extensions are weakly sofic

12:00pm to 1:00pm## Location:

Manchester Building, Room 209January 16, 12:00-13:00, Seminar room 209, Manchester building.__Abstract:__I plan to show a proof of the statement "residually-finite-by-residually-finite extensions are weakly sofic". The proof is based on characterization of weakly sofic groups

by solvability of equations over groups. It looks different from other proofs of soficity and weak soficity. I plan to discuss relations of equations on and over groups with soficity in some details. - 2020 Jan 15
# Eshnav: Emmanuel Farjoun - The Geometry of Time according to Einstein

6:00pm to 7:00pm**פרופ' עמנואל פרג'ון: הגאומטריה של הזמן - לפי איינשטיין וחבריו**לפני כ-100 שנה נצפתה סטיה קלה של אורות כוכבים ממסלולם בעוברם ליד השמש. הסטיה התאימה בקירוב לגישתו הגאומטרית של איינשטיין להבנת הזמן וכח הכבידה, הגרוויטציה הניוטונית. ענף רחב ידים של המתמטיקה, הגאומטריה של רימן, גאוס, לוי-צ'יביטה ורבים אחרים קיבל תנופה רבה כבסיס מתמטי לגאומטריה של המרחב-זמן שפותחה ע"י איינשטיין. - 2020 Jan 15
# Dvoretzky Lectures: Mean Field Limits for Coulomb Dynamics

## Lecturer:

Sylvia Serfaty12:00pm to 2:00pm## Location:

Ross 70We 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 15
# Analysis Seminar Dvoretsky Lecture: Sylvia Serfaty (NYU Courant) - Mean Field Limits for Coulomb Dynamics

12:00pm to 1:00pm## Location:

Ross 70We 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 15
# Dvoretzky Lectures 2020: Sylvia Serfaty (Courant Institute of Mathematical Sciences)

## Lecturer:

Prof. Sylvia Serfaty (Courant Institute of Mathematical Sciences)Wed, 15/01/2020 - 12:00 to Thu, 16/01/2020 - 16:00 - 2020 Jan 14
# Talk Cancelled.

2:00pm to 3:00pm