Organizing Committee
- Eva Marie Feichtner
University of Bremen - Larry Guth
MIT - Gil Kalai
Hebrew U and Yale - Roman Karasev
Moscow Phys-Tech Institute - Elchanan Mossel
University of California, Berkeley - Igor Pak
University of California at Los Angeles - Rade Zivaljevic
Belgrade University
Abstract
While the semester program as a whole is inspired by the original view of topology as analysis situs fueled by applications in natural sciences and engineering, this workshop emphasizes the impact of topology and geometry on discrete structures.
Combinatorially inspired configuration spaces, such as arrangements of points, lines, hyperplanes, polytopes, and the like, provide intricate material and ongoing challenge for topological and geometric techniques. The latter have often gone through a process of adjustment towards their discrete, stratified objects, as in the case of discrete Morse theory or application of Fourier analysis. Notably, the recent solution of the log-concavity conjecture for matroids by Adiprasito, Huh and Katz was achieved by developing Hodge theory for combinatorial geometries which opens up most exciting perspectives on further applications. The construction of higher dimensional expanders is yet another promising direction. Inspired by the rich theory of graph expanders and drawing on the techniques of combinatorial algebraic topology, the goal is to design high-dimensional simplicial complexes with strong connectivity properties. New applications abound, like the impact of discrete geometry on social choice and mathematical economics through balancing theorems and equilibrium configurations.
This workshop is about building bridges - providing intricate, combinatorially inspired spaces to the topologist and geometer, and versatile geometric tools to the combinatorialist. Computational and algorithmic aspects as well as experimental evidence are crucial for this purpose.
Confirmed Speakers & Participants
Talks will be presented virtually or in-person as indicated in the schedule below.
- Speaker
- Poster Presenter
- Attendee
- Virtual Attendee
-
Henry Adams
Colorado State University
-
Karim Adiprasito
Hebrew University of Jerusalem
-
Sharareh Alipour
Sharif University of Technology
-
Hannah Alpert
MIT
-
Laura Anderson
Binghamton University
-
Ahmed Umer Ashraf
University of Western Ontario
-
Serhii Avvakumov
IST Austria
-
Eric Babson
UC Davis
-
Alexander Barvinok
University of Michigan
-
Yuliy Baryshnikov
University of Illinois at Urbana-Champaign (UIUC)
-
Ulrich Bauer
Technical University of Munich (TUM)
-
Bruno Benedetti
University of Miami
-
Bhaswar Bhattacharya
University of Pennsylvania
-
Ciprian Borcea
Rider University
-
Bryan Chen
University of Massachusetts
-
Jeremy Cochoy
INRIA
-
Fred Cohen
Rochester University
-
James Davis
Indiana University
-
Emanuele Delucchi
University of Fribourg
-
Graham Denham
University of Western Ontario
-
Anton Dochtermann
Texas State University
-
Alperen Ergur
North Carilona State University
-
Chaim Even-Zohar
Hebrew University of Jerusalem
-
Eva Marie Feichtner
University of Bremen
-
Christopher Fowler
University of Washington
-
Florian Frick
Cornell University
-
Alex Gamburd
CUNY
-
Alexey Garber
The University of Texas Rio Grande Valley
-
Chad Giusti
University of Pennsylvania
-
Mark Goresky
Institute for Advanced Study, School of Mathematics
-
Gillian Grindstaff
University of Texas at Austin
-
Anna Gundert
University of Cologne
-
Larry Guth
MIT
-
Zach Haney
Northeastern University
-
Maria Hempel
WPI
-
Patricia Hersh
North Carolina State University
-
Christopher Hoffman
University of Washington
-
June Huh
Princeton University
-
Kristóf Huszár
IST Austria
-
Matt Insall
Missouri University of Science and Technology
-
Marija Jelic Milutinovic
University of Belgrade, Faculty of Matehmatics
-
Cliff Joslyn
Pacific Northwest National Laboratory
-
Martina Juhnke-Kubitzke
University of Osnabrück
-
Matthew Kahle
Ohio State University
-
Yael Karshon
Univerity of Toronto
-
Caroline Klivans
Brown University
-
Nicholas Kosar
University of Illinois at Urbana Champaign
-
Slava Krushkal
University of Virginia
-
Deniz Kutluay
Indiana University
-
Wai Yeung Lam
Brown University
-
Emanuel Lazar
University of Pennsylvania
-
Quang-Nhat Le
Brown University
-
Avi Levy
University of Washington
-
Isaac Mabillard
IST Austria
-
Robert MacPherson
Institute for Advanced Study, School of Mathematics
-
Greg Malen
Ohio State University
-
Fedor Manin
University of Toronto
-
Benjamin Matschke
University of Bordeaux
-
Roy Meshulam
Technion, Haifa
-
Isabella Novik
University of Washington
-
Steve Oudot
Inria
-
Giovanni Paolini
Scuola Normale Superiore of Pisa
-
Kyle Parsons
The Ohio State University
-
Pavel Paták
Hebrew University of Jerusalem
-
Zuzana Patáková
Hebrew University of Jerusalem
-
Christoph Pegel
Universität Bremen
-
Thomas Peters
University of Connecticut
-
James Pommersheim
Reed College
-
Margaret Readdy
University of Kentucky
-
Érika Roldán Roa
CIMAT (Center of Research in Mathematics)
-
Elia Saini
Université de Fribourg
-
Jose Alejandro Samper Casas
University of Washington
-
Vikram Saraph
Brown University
-
Benjamin Schweinhart
Harvard University
-
Don Shimamoto
Swarthmore College
-
Steven Simon
Bard College
-
Pablo Soberón
Northeastern University
-
Elchanan Solomon
Brown University
-
Mentor Stafa
IUPUI
-
Ileana Streinu
Smith College
-
Ngoc Mai Tran
University of Texas at Austin
-
José Antonio Vilches
Universidad de Sevilla
-
Uli Wagner
IST Austria
-
Han Wang
NCSU
-
John Wiltshire-Gordon
University of Michigan
-
Charles Wolf
Rutgers University
-
Russ Woodroofe
Mississippi State University
-
Masashi Yasumoto
Kobe University
-
Josephine Yu
Georgia Institute of Technology
-
Stephan Zhechev
IST AUSTRIA
-
Alena Zhukova
Saint-Petersburg State University
-
Rade Zivaljevic
Belgrade University