Organizing Committee
- Saugata Basu
Purdue University - Antonio Lerario
SISSA (International School for Advanced Studies) - Annie Raymond
University of Massachusetts, Amherst - Cordian Riener
UiT The Arctic University of Norway
Abstract
Real algebraic (and semi-algebraic) geometry studies subsets of R^n defined by a finite number of polynomial equalities and inequalities. Such sets occur ubiquitously in practice both inside and outside of mathematics. While being easy to define, semi-algebraic sets can be complicated topologically, which restricts the application of many algorithms. In recent years, there has been progress in proving much stronger results – both quantitative and algorithmic -- when the problem under consideration involves the invariance under some group action.
In this workshop, we plan to focus on two situations where this phenomenon happens.
The first one is the statistical study of the topology of random real algebraic varieties as well as semi-algebraic sets, where the polynomials defining these objects are picked from a distribution invariant under the action of a certain group (usually the orthogonal group) acting on the space of variables. The behavior of the set of zeros (or more generally level sets) of such random polynomial systems is an extremely active topic with deep connections with classical enumerative problems in algebraic geometry (over real as well as complex fields), theoretical computer science, statistical physics, and machine learning.
The second one is the deterministic behavior of the topology of semi-algebraic sets admitting a group action (say a finite reflection group or a Lie group). The cohomology modules of such symmetric semi-algebraic sets then acquire the structure of a finite-dimensional representation of the corresponding group. This added structure is extremely useful in studying the topology as well as developing algorithms for computing topological invariants of such sets. The study of symmetric semi-algebraic sets has promising connections with several other areas, including representational and homological stability, sums-of-squares proofs and lower-bound questions in theoretical computer science.
Confirmed Speakers & Participants
- Speaker
- Poster Presenter
- Attendee
- Virtual Attendee
-
Jose Acevedo
Georgia Tech
-
Rida Ait El Manssour
University of Trieste
-
Ayah Almousa
Cornell University
-
Muhammad Ardiyansyah
Aalto University
-
Ahmed Umer Ashraf
University of Western Ontario
-
Iman Bahmani Jafarloo
Politecnico di Torino
-
Ainesh Bakshi
Carnegie Mellon
-
Brenden Balch
Colorado State Univerity
-
Saugata Basu
Purdue University
-
Mara Belotti
Sissa
-
Sandipan Bhattacherjee
NATIONAL INSTITUTE OF SCIENCE EDUCATION AND RESEARCH (NISER),BHUBANESWAR, INDIA
-
Greg Blekherman
Georgia Tech
-
Madeline Brandt
Brown University
-
Paul Breiding
Technische Universität Berlin
-
Markus Breivik
University of Konstanz
-
Peter Burgisser
Technical University Berlin
-
Jose Abel Castellanos Joo
University of New Mexico
-
Maria Dascalu
University of Massachusetts Amherst
-
Biswa Datta
University of Burdwan
-
Shiladittya Debnath
West Bengal University of Technology.
-
Sebastian Debus
UiT The Arctic University Of Norway
-
Harm Derksen
University of Michigan
-
Mareike Dressler
UC San Diego
-
Matthew Faust
Texas A&M University
-
Abhibhav Garg
Indian Institute of Technology Kanpur
-
Ajeet Gary
New York University
-
Elena Grigorescu
Purdue University
-
Joshua Grochow
University of Colorado Boulder
-
Peter Gylys-Colwell
University of Washington
-
Katherine Harris
North Carolina State University
-
Patricia Hersh
University of Oregon
-
Janin Heuer
TU Braunschweig
-
Xiaoyan Hu
Middle Georgia State University
-
Evelyne Hubert
Inria
-
Christian Ikenmeyer
University of Liverpool
-
Jaewoo Jung
Georgia Institute of Technology
-
Nidhi Kaihnsa
Brown University
-
Aleksandr Kolpakov
University of Neuchâtel
-
Matthias Köppe
UC Davis
-
annachiara korchmaros
aalto university
-
Viktor Korotynskiy
CTU in Prague
-
Pravesh Kothari
Institute for Advanced Study and Princeton University
-
Khazhgali Kozhasov
TU Braunschweig
-
Kaie Kubjas
Aalto University
-
Avinash Kulkarni
Dartmouth College
-
Akash Kumar
EPFL
-
Mario Kummer
TU Berlin
-
Kisun Lee
UC San Diego
-
Antonio Lerario
SISSA (International School for Advanced Studies)
-
Anton Leykin
Georgia Tech
-
Wenwen Li
University of Oklahoma
-
Arne Lien
UiT The Arctic University of Norway
-
Kuei-Nuan Lin
Penn State University, Greater Allegheny
-
Martin Lotz
Warwick University
-
Erik Lundberg
Florida Atlantic University
-
Viswambhara Makam
Institute for Advanced Study
-
Léo Mathis
SISSA (Trieste-Italy)
-
Chiara Meroni
SISSA
-
Mozhgan Mirzaei
University of California San Diego
-
Tushant Mittal
University of Chicago
-
Ali Mohammad Nezhad
Purdue University
-
Philippe Moustrou
UiT the Arctic University of Bordeaux
-
Uwe Nagel
University of Kentucky
-
Abhiram Natarajan
Purdue University
-
Ion Nechita
CNRS
-
Rafael Oliveira
University of Waterloo
-
Dmitrii Pasechnik
Oxford University
-
Sarah Percival
Purdue University
-
Chris Peterson
Colorado State University
-
Rodolfo Quintero Ospina
Lehigh University
-
Serge Randriambololona
Bilkent University
-
Annie Raymond
University of Massachusetts, Amherst
-
Margaret Regan
Duke University
-
Cordian Riener
UiT The Arctic University of Norway
-
Sinai Robins
University of Sao Paulo
-
Erick Rodriguez
INRIA
-
Jose Rodriguez
University of Wisconsin-Madison
-
Alison Rosenblum
Purdue University
-
Vera Roshchina
UNSW Sydney
-
Marie-Francoise Roy
Universite de Rennes I
-
Raman Sanyal
Goethe-Universität Frankfurt
-
Robin Schabert
University of Tromsø – The Arctic University of Norway
-
Georgy Scholten
North Carolina State University
-
isabelle Shankar
University of California, Berkeley
-
Samantha Sherman
University of Notre Dame
-
Kevin Shu
Georgia Institute of Technology
-
Miruna-Stefana Sorea
Max Planck Institute for Mathematics in the Sciences, Leipzig
-
Frank Sottile
Texas A&M University
-
Michele Stecconi
Scuola Internazionale Superiore di Studi Avanzati
-
Shengding Sun
Georgia Institute of Technology
-
Agnes Szanto
North Carolina State University
-
Ayush Tewari
TU Berlin
-
Josué Tonelli-Cueto
Inria Paris & IMJ-PRG
-
Elias Tsigaridas
INRIA Paris
-
Hugues Verdure
UiT - The Arctic University of Norway
-
Abhinav Verma
Rice University
-
Elise Walker
Texas A&M University
-
Zijian Wang
The University of Chicago
-
Zinan Wang
University of Wisconsin-Madison
-
Jeff Xu
Carnegie Mellon University
-
Yuan Zhou
University of Kentucky
-
Minshen Zhu
Purdue University
Workshop Schedule
Monday, August 24, 2020
Tuesday, August 25, 2020
Wednesday, August 26, 2020
Thursday, August 27, 2020
Friday, August 28, 2020
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