# Events

The Department of Mathematics is pleased to host a variety of events throughout the year. For additional information about our seminars, lectures, colloquia, and related activities, please call (716) 645-6284 or contact us via general inquiry email: mathematics@buffalo.edu

Thank you for your interest in our events.

## FALL 2022 EVENTS FORTHCOMING

UB MATHEMATICS SEMINARS
The list of events for Fall 2022 is forthcoming

## Myhill Lecture Series

The next edition of the Myhill Lecture Series will be delivered by Gigliola Staffilani, Abby Rockefeller Mauze Professor, Department of Mathematics, Massachusetts Institute of Technology. The precise dates will be announced at a later time.

# Tue, Feb 22

Applied Math Seminar
Applied Math Seminar: Alexander Korotkevich (UNM)
Numerical Verification of the 6-Wave 1D Kinetic Equation.Speaker: Alexander Korotkevich (University of New Mexico, Department of Math&Stat)
4:00PM, Zoom

# Fri, Feb 25

Special Event
Makoto Ozawa (Komazawa University) via Zoom only Friday

4:00PM

# Tue, Mar 1

Applied Math Seminar
Applied Math Seminar
Denis Silantyev (UCCS)
Generalized Constantin-Lax-Majda Equation: Collapse vs. Blow Up and Global ExistenceSpeaker: Denis Silantyev (UC Colorado Springs, Department of Mathematics)
4:00PM, Zoom

# Tue, Mar 8

Applied Math Seminar
Dr. Kai Yang, Florida International University
Numerical methods for the KdV-type equations
4:00PM, Zoom: for link see email announcement or contact sergeyd at buffalo dot edu

# Thu, Mar 10

Colloquium
Cary Malkiewich, Binghamton University
Brave new fixed-point theory
4:00PM, Zoom: for link see email announcement or contact badzioch at buffalo dot edu

# Mon, Mar 14

Algebra Seminar
Benjamin Passe, United States Naval Academy
Boundary representations and isolated points
4:00PM, Zoom. Contact achirvas AT buffalo DOT edu for link.

# Tue, Mar 15

Applied Math Seminar
Pavel Lushnikov, University of New Mexico
Conformal mappings and integrability of surface dynamics
4:00PM, Zoom: for link contact sergeyd@buffalo.edu

# Fri, Mar 18

Geometry and Topology Seminar
Subhankar Dey, University of Alabama
Detection results in link Floer homology

4:00PM, 122 Mathematics Building

# Thu, Mar 31

Colloquium
Colloquium: Michael Brannan (University of Waterloo)Via Zoom
4:00PM

# Fri, Apr 1

Geometry and Topology Seminar
Hong Chang, University at Buffalo
Efficient geodesics in the curve complex and their dot graphs

4:00PM, 122 Mathematics Building

# Thu, Apr 7

Special Event
Colloquium: Gino Biondini, University at Buffalo
Two adventures in integrable systems: thenonlinear Schrodinger equation with non-trivial boundary conditions
4:00PM, Room 250 Math Building, North Campus

A significant advance in mathematical physics in thesecond half of the twentieth century was the development of the theory ofmodern integrable systems. These systems are nonlinear evolution equations ofphysical significance that provide the nonlinear counterpart to the classicalPDEs of mathematical physics.

One such equation, and in some respects the mostimportant one, is the nonlinear Schrödinger (NLS) equation. The NLS equation isa universal model for weakly nonlinear dispersive wave packets, and arises in avariety of physical settings, including deep water, optics, acoustics, plasmas,condensed matter, etc. In addition, the NLS equation is a completelyintegrable, infinite-dimensional Hamiltonian system, and as a result itpossesses a remarkably deep and beautiful mathematical structure. At the rootof many of these properties is the existence of Lax pair, namely the fact thatthe NLS equation can be written as the compatibility condition of anoverdetermined pair of linear ODEs. The first half of the Lax pair for the NLSequation is the Zakharov-Shabat scattering problem, which is equivalent to aneigenvalue problem for a one-dimensional Dirac operator.

Even though the NLS equation has been extensively studiedthroughout the last sixty years, it continues to reveal new phenomena and offermany surprises. In particular, the focusing NLS equation with nontrivialboundary conditions has received renewed attention in recent years. This talkis devoted to presenting two recent results in this regard. Specifically, Iwill discuss: (i) A characterization of the universal nonlinear stage ofmodulational instability, achieved by studying the long-time asymptotics ofsolutions of the NLS equation with non-zero background; (ii) A characterizationof a two-parameter family of elliptic finite-band potentials of thenon-self-adjoint ZS operator, which are associated with purely real spectrum ofHill’s equation (i.e., the time-independent Schrodinger equation with periodiccoefficients) with a suitable complex potential.

# Fri, Apr 8

Geometry and Topology Seminar
Sahana Hassan Balasubramanya, University of Münster
Actions of solvable groups on hyperbolic spaces
4:00PM, Zoom

# Mon, Apr 11

Algebra Seminar
Xiuping Su, University of Bath
Kac's Theorem for a class of string algebras of affine type $$\mathbf {C}$$.

4:00PM, Contact achirvas@buffalo.edu for zoom link

# Tue, Apr 12

Applied Math Seminar
Dmitry Zakharov, Central Michigan U
Lump chains in the KP-I equation

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

# Thu, Apr 14

Colloquium
Peter Thomas (Case Western U)
Phase and phase-amplitude reduction for stochastic oscillators
4:00PM, 250 Math Bldg, also accessible via Zoom - contact badzioch@buffalo for link

# Fri, Apr 15

Geometry and Topology Seminar
Daxun Wang, University at Buffalo
Boundary action of CAT(0) groups and their $$C^\ast$$-algebras.

4:00PM, 122 Mathematics Building

# Tue, Apr 19

Applied Math Seminar
Bernard Deconinck, U of Washington
The water wave pressure problem

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

# Fri, Apr 22

Geometry and Topology Seminar
Matt Durham, UC Riverside/Cornell University
Local quasicubicality and sublinear Morse geodesics in mapping class groups and Teichmuller space

4:00PM, 122 Mathematics Building

# Mon, Apr 25

Algebra Seminar
Daniel Sage, LSU
The Deligne–Simpson problem for connections on $$\mathbb{G}_m$$ with a maximally ramified singularity
4:00PM, Mathematics Building Room 250

# Tue, Apr 26

Applied Math Seminar
Svetlana Roudenko, Florida International University
The gKdV world thru the NLS lens
4:00PM, Zoom, contact sergeyd@buffalo.edu for link

# Thu, Apr 28

Colloquium
Juanita Pinzón Caicedo, University of Notre Dame
Four-manifolds and knot concordance

4:00PM, 250 Math Bldg. Also via Zoom - contact badzioch@buffalo.edu for link.

# Fri, Apr 29

Geometry and Topology Seminar
Juanita Pinzon Caicedo, University of Notre Dame
Satellite Operations that are not homomorphisms.

4:00PM, 122 Mathematics Building

# Mon, May 2

Special Event
Nicolle González, UCLA
A skein theoretic $$A_{q,t}$$ algebra
4:00PM, Mathematics Building room 250

# Fri, May 6

Geometry and Topology Seminar
Ciprian Manolescu, Stanford University
A knot Floer stable homotopy type
Knot Floer homology (introduced by Ozsváth–Szabó and Rasmussen) is an invariant whose definition is based on symplectic geometry, and whose applications have transformed knot theory over the last two decades. Starting from a grid diagram of a knot, I will explain how to construct a spectrum whose homology is knot Floer homology. Conjecturally, the homotopy type of the spectrum is an invariant of the knot. The construction does not use symplectic geometry, but rather builds on a combinatorial definition of knot Floer homology. We inductively define models for the moduli spaces of pseudo-holomorphic strips and disk bubbles, and patch them together into a framed flow category. The inductive step relies on the vanishing of an obstruction class that takes values in a complex of positive domains with partitions. (This is joint work with Sucharit Sarkar.)
4:00PM, Zoom

# Mon, May 9

Algebra Seminar
Jie Ren, UB
Quivers and 2-Calabi-Yau categories

4:00PM

The framework of Calabi-Yau categories is appropriate forthe theory of motivic Donaldson-Thomas invariants. I will give an introductionto the Calabi-Yau categories associated to quivers, and the analyticity oftheir stability structures.

# Mon, May 9

Special Event
Jie Ren, UB
Quivers and 2-Calabi-Yau categories

4:00PM

The framework of Calabi-Yau categories is appropriate forthe theory of motivic Donaldson-Thomas invariants. I will give an introductionto the Calabi-Yau categories associated to quivers, and the analyticity oftheir stability structures.

# Tue, May 10

Applied Math Seminar
Panayotis Kevrekidis, U Mass
Some Vignettes of Nonlinear Waves in Granular Crystals: From Modeling and Analysis to Computations and Experiments
4:00PM, Zoom - contact sergeyd@buffalo.edu for link

2022 SPOTLIGHT
INTERDISCIPLINARY EVENT
UB Biological Sciences Seminar Series
MARCH 3, 2022; 228 NSC and via Zoom
Dr. Naoki Masuda, UB Mathematics, Gene network analysis: Revealing adaptive structural variants and quantifying omnigenic models.

## 2019 Event Highlights

Class of 2019: Professor John Ringland was the faculty speaker at the College of Arts Commencement. Professor Ringland's 2019 Commencement Address is here.

## 2018 Event Highlights

Dec 3
Algebra Seminar- S. Paul Smith, University of Washington

Elliptic algebras
4:00PM, Mon Dec 3 2018, 150 Mathematics Bldg.

The algebras of the title form a flat family of (non-commutative!)
deformations of polynomial rings. They depend on a relatively prime
pair of integers n>k>0, an elliptic curve E, and a translation
automorphism of E. Quite a lot is known when n=3 and n=4 (and k=1),
in which case the algebras are deformations of the polynomial ring on
3 and 4 variables. These were discovered and have been closely studied
by Artin, Schelter, Tate, and Van den Bergh, and Sklyanin. They were
defined in full generality by Feigin and Odesskii around 1990 and
apart from their work at that time they have been little studied.
Their representation theory appears to be governed by, and best
understood in terms of, the geometry of embeddings of powers of E (and
related varieties like symmetric powers of E) in projective
spaces. Theta functions in several variables and mysterious identities
involving them provide a powerful technical tool.

This is a report on joint work with Alex Chirvasitu and Ryo Kanda.