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.

Wed, Oct 12

Analysis Seminar
Yuqing (Frank) Lin, Texas A&M University
Entropy for actions of free groups under bounded orbit equivalence

4:00PM, 250 math Building and on Zoom - contact hfli@math.buffalo.edu for link

Joint work with Lewis Bowen. The f-invariant is a notion of entropy for probability measure preserving (pmp) actions of free groups. It is invariant under measure conjugacy and is an extension of Kolmogorov-Sinai entropy for actions of the integers. Two pmp actions are orbit equivalent if their orbits can be matched almost everywhere in a measurable fashion. Although entropy is not invariant under orbit equivalence in general, work of Austin and Kerr-Li has shown in various settings that entropy is invariant under certain stronger notions of quantitative orbit equivalence. We add to these results by showing that the f-invariant is invariant under the assumption of bounded orbit equivalence. 

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