From June 26 to June 30, 2023

Geometry and analysis of groups and manifolds

at the De Giorgi Center of the SNS Pisa

  Speakers:

 

Luigi Ambrosio Pekka Koskela

Richard Bamler Urs Lang

Mario Bonk John Lott

Marc Bourdon Vlad Markovic

Jeff Cheeger * Assaf Naor

Cornelia Drutu Kai Rajala

David Fisher Antoine Song

Ursula Hamenstädt Stefan Wenger

Misha Kapovich *

        *=remotely

  Organizing Committee:

 

S. Eriksson-Bique, O. Hershkovits, J. Huang, E. Le Donne, J. Mackay,  B. Thornton, X. Xie.

Geometric analysis and geometric group theory are two fields which have 
seen rapid progress in recent years, with the development of powerful 
tools that have solved major open questions and opened up exciting new 
avenues of inquiry.



On the side of geometric analysis, Perelman's development of Hamilton's 
Ricci Flow to prove the Geometrization Conjecture is a famous example, 
leading to many further advances in using geometric flow methods to 
solve open questions in differential geometry, for example 
Bamler-Kleiner's solution to the Generalized Smale Conjecture for 
three-manifolds.  Analytic tools are also of importance in geometric 
group theory, with one recent example Cheeger-Kleiner's use of delicate 
geometric measure theory to show the non-embedability of the Heisenberg 
group in L1, with applications to the Sparsest Cut problem in theoretic 
computer science.



Both these fields are very active but there have been relatively few 
opportunities to explore the interaction between them.  The goal of this 
conference is to bring together world-leading experts from these two 
different research communities in order to enable exchange of ideas and 
explore potential new applications.

Also the conference on subRiemannian geometry and beyond might be of your interest, which is at the same location during the previous week.

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Abstracts: Geometry and analysis of groups and manifolds

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Day 2

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Day 3

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Day 4

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Day 5

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The goal of this event is to bring leaders in Geometric analysis and geometric group theory together from across the globe.

 

 

 

 

The Venue

Centro di Ricerca Matematica Ennio De GiorgiCollegio Puteano, Scuola Normale SuperiorePiazza dei Cavalieri, 3I-56100 PISAe-mail: crm@sns.it

The Centro di Ricerca Matematica Ennio De Giorgi was established at the end of 2001 as a center of the Scuola Normale Superiore.

 

Let us know if you'll be attending!