Wed, Sep 30
Analysis Seminar
Ruhan Zhao (SUNY Brockport)
An Excursion to \(F(p,q,s)\) spaces
4:00 PM, Mathematics Building room 250
The family of spaces \(F(p,q,s)\) was introduced by the speaker in 1996. Since then, there has been a great development on the theory of \(F(p,q,s)\) spaces, due to the fact that these spaces include many classical function spaces as special cases, such as Bloch type spaces, \(Q_p\) spaces, BMOA, weighted Bergman spaces, weighted Dirichlet spaces and analytic Besov spaces and have natural connections with many other areas of mathematics. We present basic properties and some recent results on the theory of \(F(p,q,s)\) spaces.
Fri, Oct 2
Topology and Geometry Seminar
Arya Vadnere (University at Buffalo)
Automorphisms of the Grand Arc Graph
4:00 PM, 122 Mathematics Building
Mapping class groups of finite-type surfaces have often been studied via their action on various graphs, whose vertices correspond to homotopy classes of certain arcs or curves on the surface, with edges between homotopically disjoint arcs or curves. In 2006, Ivanov posed a "metaconjecture": every object naturally associated to a surface, which admits an action of the mapping class group, with sufficiently rich structure has its group of automorphisms be the mapping class group. This is true for a lot of these arc/curve graphs — in particular, this means that the combinatorial structure of these graphs perfectly captures the topology of the surface. In this talk, we shall explore Ivanov’s metaconjecture for mapping class groups of infinite-type surfaces. We shall focus on the action on “the grand arc graph”, first introduced by Bar-Natan—Verberne, which is an infinite-diameter, hyperbolic graph defined on a large class of infinite-type surfaces. This talk contains joint work with G. Shaji.
Mon, Oct 5
Algebra Seminar
SPECIAL JOINT ALGEBRA/ANALYSIS TALK. ROY ARAIZA, University of Illinois at Urbana-Champaign
Recent Progress in the Grothendieck Programme
4:00 PM, 250 Math Building
In this lecture I will discuss recent advancements in the Grothendieck programme. In particular, after discussing some of the history surrounding Grothendieck’s inequality, and the Resume, I will present a counterexample to a matricial version of Grothendieck’s fundamental theorem, which answers a question of Blecher, Pisier, and Shlyakhtenko, first formulated in 1992. Along the way we will discuss how quantum games played a major role in finding our counterexample. Based on joint work with Marius Junge and Carlos Palazuelos.
Tue, Oct 6
What is...? Seminar
Sergey Dyachenko
TBA
4:00 PM, 250 Mathematics Building
TBA
Wed, Oct 7
Analysis Seminar
Biao Wang (Yunnan University)
Simple critical zeros and distinct zeros of the Riemann zeta-function in short intervals
9:00 AM, Zoom, email XL29@buffalo.edu for link.
Recently, regarding the non-trivial zeros of the Riemann zeta function, it was discovered by Claude and verified by Alpöge and Furman that more than 67.2% of the non-trivial zeros are simple and on the critical line, and more than 83.62% are distinct. Later, Lamzouri gave a different and more direct proof. In this talk, we will introduce the recent progress on the proportion of zeros of the Riemann zeta function. Moreover, we will introduce how Lamzouri’s method can be used to obtain lower bounds on the number of the non-trivial zeros of the Riemann zeta function in short intervals.