2019
Jun
03

# Combinatorics - back to back:

11:00am to 1:00pm

## Location:

CS Rothberg bldg, room B-500, Safra campus

First talk:
Speaker: Madeleine Weinstein (Berkeley)
Title: Voronoi Cells of Varieties
Abstract:

2019
Jun
03

11:00am to 1:00pm

CS Rothberg bldg, room B-500, Safra campus

First talk:
Speaker: Madeleine Weinstein (Berkeley)
Title: Voronoi Cells of Varieties
Abstract:

2019
Jun
24

11:00am to 1:00pm

CS bldg, room B-500, Safra campus

Speaker: Doron Puder, TAU
Title: Aldous' spectral gap conjecture for normal sets
Abstract:
Aldous' spectral gap conjecture, proved in 2009 by Caputo, Liggett and Richthammer, states the following a priori very surprising fact: the spectral gap of a random walk on a finite graph is equal to the spectral gap of the interchange process on the same graph.

2019
May
13

11:00am to 1:00pm

CS bldg, room B-500, Safra campus

Speaker: Shira Zerbib (U. Michigan, Iowa State University)
Title: Envy-free division of a cake without the “hungry players" assumption
Abstract:
The fair division theorem due to Stromquist (1980) ensures that under some conditions it is possible to divide a rectangular cake into n pieces and assign one piece to each of n players such that no player strictly prefers a piece that has not been assigned to him.

2019
May
06

11:00am to 1:00pm

CS building, room B-500, Safra campus

Speaker: Omri Ben Eliezer, TAU
Title: Finding patterns in permutations
Abstract:
For two permutations sigma and pi, we say that sigma contains a copy of
pi, if there is a subset (not necessarily consecutive) of elements in sigma,
whose relative order is the same as in pi. For example, if pi = (1,2,3),
then a copy of pi in sigma amounts to an increasing subsequence in sigma
of length 3.
As shown by Guillemot and Marx, a copy of a constant length pi can be
found in sigma in linear time. However, how quickly can one find such a

2019
May
16

4:00pm to 5:15pm

Ross 70

Hilbert's 12th problem (Kronecker's Jugendtraum) is one of the major open problems

2019
Jun
10

11:00am to 1:00pm

CS bldg, room B-500, Safra campus

Speaker: Eyal Karni (BIU)
Title: Combinatorial high dimensional expanders
Abstract:
An eps-expander is a graph G=(V,E) in which every set of vertices X where |X|<=|V|/2 satisfies |E(X,X^c)|>=eps*|X| . There are many edges that "go out" from any relevant set.

2019
May
27

11:00am to 1:00pm

CS Rothberg bldg, room B-500, Safra campus

Speaker: Uri Rabinovich (U. Haifa)
Title: SOME EXTREMAL PROBLEMS ABOUT SIMPLICIAL COMPLEXES
Abstract:
We shall discuss the following three issues:
* The existence of Hamiltonian d-cycles, i.e., simple d-cycles containing a spanning d-hypertree of a complete d-complex K_n^d;
* The existence of a distribution D over spanning d-hypertrees T of K_n^d, so that for ANY
(d-1)-cycle C there, the expected size of the d-filling of C with respect to a random T from D is Omega(n^d);
* The existence of f(k,d) such that any d-simplex of rank r with > f(k,d)*r d-faces contains

2019
May
23

4:00pm to 5:15pm

Ross 70

Hilbert's 12th problem (Kronecker's Jugendtraum) is one of the major open problems

2019
May
27

2:30pm to 3:30pm

Abstract: Any birational geometer would agree that the best algorithm
for resolution of singularities should run by defining a simple invariant of
the singularity and iteratively blowing up its maximality locus.
The only problem is that already the famous example of Whitney umbrella
shows that this is impossible, and all methods following Hironaka had
to use some history and resulted in more complicated algorithms.
Nevertheless, in a recent work with Abramovich and Wlodarczyk we did
construct such an algorithm, and an independent description of a similar

2019
May
21

Prof. Luc Illusie (Université Paris-Sud)

1:00pm to 2:00pm

Ross 70

__Abstract__: I will revisit old results on liftings mod p^{2} and decompositions of de Rham complexes in positive characteristic (Deligne-I.) at the light of relations recently discovered independently by Bhargav Bhatt and myself between cotangent complexes, de Rham-Witt, and derived de Rham complexes.

2019
Jun
20

10:00am to 11:00am

For a finitely generated subgroup H of the free group F_r, the Stallings graph of H is a finite combinatorial graph, whose edges are labeled by r letters (and their inverses), so that paths in the graphs correspond precisely to the words in H. Furthermore, there is a map between the graphs of two subgroups H and J, precisely when one is a subgroups of the other. Stallings theory studies the algebraic information which is encoded in the combinatorics of these graphs and maps.

2019
Jun
06

10:00am to 11:00am

Abstract: In this talk, I shall present a generalization of the lattice point counting problem for Euclidean balls in the context of a certain type of homogeneous groups, the so-called Heisenberg groups.

2019
Jun
13

10:00am to 11:10am

Abstract: A Markov chain over a finite state space is said to exhibit the total variation cutoff phenomenon if, starting from some Dirac measure, the total variation distance to the stationary distribution drops abruptly from near maximal to near zero. It is conjectured that simple random walks on the family of $k$-regular, transitive graphs with a two sided $\epsilon$ spectral gap exhibit total variation cutoff (for any fixed $k$ and $\epsilon). This is known to be true only in a small number of cases.

2019
Jun
04

2019
May
07