Wednesday,
September 5
Speaker: Marisa
Zymonopoulou
Title: The complex
Busemann-Petty problem on sections of convex bodies
Abstract: We
prove that the solution to the Busemann-Petty problem
in $C^n$ is affirmative if $n\le 3$ and negative if $n\ge 4.$
Wednesday,
September 12
Speaker: Marisa
Zymonopoulou
Title: The complex
Busemann-Petty problem on sections of convex bodies (continuation)
Abstract: We
prove that the solution to the Busemann-Petty problem
in $C^n$ is affirmative if $n\le 3$ and negative if $n\ge 4.$
Wednesday,
September 19
Speaker: Witold Bednorz
Title: Approximation
nets and Stochastic Boundedness
Abstract: I show how to use the idea of
generic chaining to prove boundedness of
a stochastic process given on the general metric space (T,d). Then I
study the important
case when so called "majorizing measure" condition is imposed on the
space. The talk will
be self-contained and does not
assume
any additional knowledge from the audience.
Wednesday,
September 26
Speaker: Witold Bednorz
Title:
Approximation nets and Stochastic Boundedness (continued)
Wednesday,
October 3
Speaker: Wesley Nevans
Title: Concentration
for random Bernoulli sums:
introduction to the Halasz method
Wednesday, October 10
Speaker: Wesley Nevans
Title: Concentration
for random Bernoulli sums:
introduction to the Halasz method (continued)
Wednesday,
October 17
Speaker: Witold Bednorz
Title: Selector
processes and the Bernoulli conjecture
Wednesday,
October 24
Speaker: Witold Bednorz
Title: Selector
processes and the Bernoulli conjecture (continued)
Wednesday,
October 31
Speaker: Jared
Schlieper
Title:
Comparison of classes of k-intersection bodies (after V.Yaskin)
Wednesday,
November 14
Speaker: Chris Shane
Title:
Determination of convex bodies by derivatives of section functions