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Abstracts for Arbeitstagung 2019 on Geometry

Alternatively have a look at the program.

Minicourse 1

Posted in
Speaker: 
Bruce Kleiner
Affiliation: 
New York University
Date: 
Mon, 2019-07-08 09:30 - 10:30
Location: 
MPIM Lecture Hall

Log-concavity of volume

Posted in
Speaker: 
Eleonora Di Nezza
Affiliation: 
La Sorbonne Université, Institut de Mathématiques de Jussieu
Date: 
Mon, 2019-07-08 11:00 - 12:00
Location: 
MPIM Lecture Hall

In this talk we present a proof of the log-concavity property of total masses of positive currents on a given compact Kähler manifold, that was conjectured by Boucksom, Eyssidieux, Guedj and Zeriahi. The proof relies on the resolution of complex Monge-Ampère equations with prescribed singularities. As corollary we give an alternative proof of the Brunn-Minkowsky inequality for convex bodies. This is based on a joint work with Tamas Darvas and Chinh Lu.

On systolic growth of Lie groups

Posted in
Speaker: 
Yves de Cornulier
Affiliation: 
CNRS and Institut Camille Jordan, Université Lyon 1
Date: 
Mon, 2019-07-08 15:00 - 16:00
Location: 
MPIM Lecture Hall

Introduced by Gromov in the nineties, the systolic growth of a
finitely generated group maps $n$ to the smallest index of a finite
index subgroup meeting the $n$-ball only in the identity singleton.
This function is one measure of residual finiteness. It extends to
compactly generated locally compact groups, replacing "finite index"
with "cocompact lattice" in the definition.

It grows as least as fast as the word growth, and with Bou-Rabee we
showed that the growth is exponential for linear groups of exponential
growth.

tba

Posted in
Date: 
Mon, 2019-07-08 16:30 - 17:30
Location: 
MPIM Lecture Hall

Minicourse 1

Posted in
Speaker: 
Bruce Kleiner
Affiliation: 
New York University
Date: 
Tue, 2019-07-09 09:30 - 10:30
Location: 
MPIM Lecture Hall

tba

Posted in
Speaker: 
Antoine Song
Affiliation: 
Princeton University
Date: 
Tue, 2019-07-09 11:00 - 12:00
Location: 
MPIM Lecture Hall

tba

Posted in
Date: 
Tue, 2019-07-09 15:00 - 16:00

tba

Posted in
Date: 
Tue, 2019-07-09 16:30 - 17:30

Minicourse 1

Posted in
Speaker: 
Bruce Kleiner
Affiliation: 
New York University
Date: 
Wed, 2019-07-10 09:30 - 10:30
Location: 
MPIM Lecture Hall

Minicourse 2

Posted in
Speaker: 
Tsachik Gelander
Affiliation: 
Weizmann Institute of Science, Rehovot
Date: 
Wed, 2019-07-10 11:00 - 12:00
Location: 
MPIM Lecture Hall
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