Mon, Oct 3

Algebra Seminar
Li Li, Oakland University
Cluster algebras and Nakajima's graded quivervarieties 
4:00PM, 250 Mathematics Building

Nakajima's graded quiver varieties are complex algebraicvarieties associated with quivers. They are introduced by Nakajima in the studyof representations of universal enveloping algebras of Kac-Moody Lie algebras,and can be used to study cluster algebras. In the talk, I will explain how toprecisely locate the supports of the triangular basis of skew-symmetric rank-2quantum cluster algebras by applying the decomposition theorem to variousmorphisms related to quiver varieties, thus prove a conjecture proposed byLee-Li-Rupel-Zelevinsky in 2014.

Wed, Oct 5

Special Event
2022 Myhill lecture Series: Gigliola Staffilani October 5-7
The study of wave interactions: where beautiful mathematical ideas come together.


4:00PM, 250 Mathematics Building,

  Phenomena involving interactions of waves happen at different scales and in different media: from gravitational waves to the waves on the surface of the ocean, from our milk and coffee in the morning to infinitesimal particles that behave like wave packets in quantum physics. These phenomena are difficult to study in a rigorous mathematical manner, but maybe because of this challenge mathematicians have developed interdisciplinary approaches that are powerful and beautiful. I will describe some of these approaches and show for example how the need to understand certain multilinear and periodic interactions gave also the tools to prove a famous conjecture in number theory or how classical tools in probability gave the right framework to still have viable theories behind certain deterministic counterexamples.

Fri, Oct 14

Geometry and Topology Seminar
Bojun Zhao (UB)
Left orderability and taut foliations with one-sided branching
4:00PM, 122 Mathematics Building

For a closed orientable irreducible 3-manifold \(M\) that admits a co-orientable taut foliation with one-sided branching, we show that \(\pi_1(M)\) is left orderable.

Tue, Oct 18

Applied Math Seminar
Jie Shen, Purdue
TBA

4:00PM, Zoom - contact mbichuch@buffalo.edu for link

TBA

Fri, Oct 21

Geometry and Topology Seminar
José Román Aranda Cuevas (Binghamton University)

4:00PM, 122 Mathematics Building

TBA

Tue, Oct 25

Applied Math Seminar
Naoki Masuda, SUNY Buffalo
TBA

4:00PM, Math 250 and on Zoom - contact mbichuch@buffalo.edu for link

TBA

Tue, Nov 15

Applied Math Seminar
Anita Layton, Waterloo
TBA

4:00PM, Zoom - contact mbichuch@buffalo.edu for link

TBA

Wed, Nov 16

Analysis Seminar
Sagun Chanillo, Rutgers University
Local Version of Courant's Nodal Domain Theorem
4:00PM, On Zoom - conact hfli@math.buffalo.edu for link

Let \((M^n, g)\) denote a smooth, compact Riemannian manifold with no boundary. A fundamental object on this manifold is the Laplace-Beltrami operator which has a discrete spectrum. If we arrange the eigenvalues of the Laplacian in increasing order (for the negative of the Laplacian) with multiplicity, Courant's theorem states, that the number of nodal components for the k-th eigenfunction is at most k. A nodal component of an eigenfunction u is a connected component of the set where u does not vanish. In this talk we study a local version of the global result of Courant. The local question was raised by Donnelley and C.Fefferman in the late1980s. Our theorems are joint work with A. Logunov, E. Mallinikova and D. Mangoubi.

Fri, Dec 2

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

TBA

Tue, Dec 6

Applied Math Seminar
Weiqi Chu, UCLA
TBA

4:00PM, Math 250 and on Zoom - contact mbichuch@buffalo.edu for link

TBA