Uploaded March 2026 | Updated September 2026, 3 weeks ago
Workshop on Recent Developments in Hodge Theory and O-minimality
12:00pm|Simonyi Hall 101
Topic: Matrix Points on Varieties
Speaker: Asvin Gothandaraman
Affiliation: Institute for Advanced Study
Date: March 11, 2026
We study a non-commutative counterpart Cn(X) of the symmetric product SymnX of a space X, defined as the space of nxn-matrix valued points on X. Our main result will be a precise formula for the cohomology of this space in great generality, but we see this as the first step in a wider non-commutative world. In particular, there is an appealing analogy with Weil restriction that we hope is illuminating and a taste of possible future directions.
This is joint work with Yifeng Huang, Ruofan Jiang and Yifan Wei (who is on the job market and drove much of this current research!).
Workshop on Recent Developments in Hodge Theory and O-minimality
12:00pm|Simonyi Hall 101
Topic: Matrix Points on Varieties
Speaker: Asvin Gothandaraman
Affiliation: Institute for Advanced Study
Date: March 11, 2026
We study a non-commutative counterpart Cn(X) of the symmetric product SymnX of a space X, defined as the space of nxn-matrix valued points on X. Our main result will be a precise formula for the cohomology of this space in great generality, but we see this as the first step in a wider non-commutative world. In particular, there is an appealing analogy with Weil restriction that we hope is illuminating and a taste of possible future directions.
This is joint work with Yifeng Huang, Ruofan Jiang and Yifan Wei (who is on the job market and drove much of this current research!).
