Mon, Mar 27

Algebra Seminar
Guanglian Zhang, Shanghai Jiao Tong University
Every type-A quiver locus is a Kazhdan-Lusztig variety

9:00AM, Note unusual time. On Zoom (please email achirvas@buffalo.edu)

The Zariski orbit closures of the representations of type-A Dynkin quivers under the action of general linear groups are related in deep ways to Schubert varieties. In this paper, we construct a scheme-theoretic isomorphism from a type-A quiver locus to the intersection of some opposite Schubert cell and Schubert variety, also known as a Kazhdan-Lusztig variety in geometric representation theory. This isomorphism is a generalization, and also an unification, of the Zelevinsky maps on equioriented type-A quiver loci and bipartite type-A quiver loci which are respectively presented by A. V. Zelevinsky in 1985 and by R. Kinser and J. Rajchgot in 2015. This result provides a more direct and natural connection between type-A quiver loci and Schubert varieties than prior similar work.

Mon, Mar 27

Applied Math Seminar
Qingguo Hong, Penn State
A priori error analysis and greedy training algorithms for neural networks solving PDEs.

2:00PM, Math 250 and on Zoom - contact mbichuch@buffalo.edu for link

We provide an a priori error analysis for methods solving PDEs using neural networks. We show that the resulting constrained optimization problem can be efficiently solved using greedy algorithms, which replaces stochastic gradient descent. Following this, we show that the error arising from discretizing the energy integrals is bounded both in the deterministic case, i.e. when using numerical quadrature, and also in the stochastic case, i.e. when sampling points to approximate the integrals. This innovative greedy  algorithm is tested on several benchmark examples to confirm its efficiency and robustness.

Fri, Mar 31

Geometry and Topology Seminar
Yuan Yao (UC Berkeley)
TBA
4:00PM, 122 Mathematics Building

TBA

Fri, Apr 14

Geometry and Topology Seminar
Nima Hoda (Cornell University)
TBA
4:00PM, 122 Mathematics Building

TBA

Mon, Apr 24

Applied Math Seminar
Boaz Ilan, UC Merced
TBA

2:00PM, Zoom - contact mbichuch@buffalo.edu for link

TBA

Thu, Apr 27

Colloquium
Bena Tshishiku (Brown University)

4:00PM, 250 Mathematics Building

Buffalo Spring Lectures in Geometry and Topology

Fri, Apr 28

Geometry and Topology Seminar
Bena Tshishiku (Brown University)

4:00PM, 122 Mathematics Building

Buffalo Spring Lectures in Geometry and Topology

Fri, May 12

Geometry and Topology Seminar
Reserved
4:00PM, 122 Mathematics Building