J.M. Landsberg (Texas A&M): How are algebraic geometry and representation theory useful for theoretical computer science?
- Event Type
- Seminar/Symposium
- Sponsor
- Department of Mathematics
- Location
- 4403 Siebel Center for Design
- Virtual
- Join online
- Date
- Nov 3, 2022 1:00 pm
- Speaker
- J.M. Landsberg (Texas A&M)
- Contact
- Bruce Reznick
- reznick@illinois.edu
- Views
- 22
Algebraic geometry is the study of zero sets of polynomial equations. Representation theory is the study of symmetries of geometric objects, or, more precisely, the systematic exploitation of symmetry in linear algebra. In this talk, Landsberg will explain how these two areas of mathematics are useful for numerous questions in theoretical computer science, including quantum information theory, L. Valiant's algebraic version of P v. NP, and the complexity of matrix multiplication.