2017
Oct
26

# Landau Lectures: Jean-Michel Bismut (Université Paris-Sud)

Thu, 26/10/2017 (All day) to Mon, 30/10/2017 (All day)

Edmond J. Safra Campus The Hebrew University of Jerusalem

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2017
Oct
26

Thu, 26/10/2017 (All day) to Mon, 30/10/2017 (All day)

2015
Apr
30

Thu, 30/04/2015 (All day) to Tue, 05/05/2015 (All day)

2016
Jan
07

Thu, 07/01/2016 (All day) to Mon, 11/01/2016 (All day)

2016
Nov
20

Sun, 20/11/2016 (All day) to Thu, 24/11/2016 (All day)

2018
Apr
26

2018
Apr
26

Thu, 26/04/2018 (All day) to Tue, 01/05/2018 (All day)

2018
May
23

4:15pm to 5:15pm

Manchester Building (Hall 2), Hebrew University Jerusalem

The Crossing Lemma of Ajtai, Chvátal, Newborn, Szemerédi (1982) and Leighton (1983 )states that if a graph of n vertices and e>4n edges is drawn in the plane, then the number of crossings between its edges must be at least constant times e^3/n^2. This statement, which is asymptotically tight, has found many applications in combinatorial geometry and in additive combinatorics. However, most results that were obtained using the Crossing Lemma do not appear to be optimal, and there is a quest for improved versions of the lemma for graphs satisfying certain special properties.

2018
Apr
09

2018
May
02

12:00pm to 1:00pm

room 70, Ross Building

Abstract: We will discuss connections between Gromov's work on isoperimetry of waists and Milman's work on the M-ellipsoid of a convex body. It is proven that any convex body K in an n-dimensional Euclidean space has a linear image K_1 of volume one satisfying the following waist inequality: Any continuous map f from K_1 to R^d has a fiber f^{-1}(t) whose (n-d)-dimensional volume is at least c^{n-d}, where c > 0 is a universal constant. Already in the case where f is linear, this constitutes a slight improvement over known results.

2018
Mar
28

12:00pm to 1:00pm

2018
Jun
06

12:00pm to 1:00pm

Ross Building, Room 70

Abstract:

Hamiltonian impact systems are dynamical systems in which there are two main mechanisms which dictate the system’s behavior - Hamilton’s equations which govern the motion inside the impact system domain, and the billiard reflection rule which governs the motion upon reaching the domain boundary. As the dynamics in impact systems are piecewise smooth by nature due to the

collisions with the boundary, many of the traditional tools used in the analysis of Hamiltonian

2018
Feb
05

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