Mon, Mar 25
Algebra Seminar
Samuel DeHority, Columbia
Flat connections and toroidal algebras
4:00PM, Zoom (please email achirvas@buffalo.edu)
Toroidal algebras are higher-(functional-)dimension analogues of affine algebras. Following Billig, we discuss representations of toroidal algebras using techniques in vertex operator algebras as well as certain extensions of them to superalgebras, and also to Hopf algebras which play the role of a Yangian of a toroidal algebra extended by divergence-free vector fields for some groups. We will also discuss a flat connection analogous to the trigonometric Casimir connection of a semisimple Lie algebra and explain how properties of the connection, including a tensor product structure and the quasimodularity connection, are related to properties of the Hopf algebra
Fri, Mar 29
Geometry and Topology Seminar
Carolyn Abbott (Brandeis University)
TBA
4:00PM, 122 Mathematics Building
TBA
Fri, Apr 12
Applied Math Seminar
Alexandr Chernyavskiy, UB
Dark-bright soliton perturbation theory for the Manakov system.
3:00PM, Math 122
A direct perturbation method for studying dynamics of
dark-bright solitons of the Manakov system in the presence of
perturbations is presented. We combine multiscale expansion method,
perturbed conservation laws, and a boundary layer approach, which breaks
the problem into an inner region, where the bulk of the soliton resides,
and an outer region, which evolves independently of the soliton. We show
that a shelf develops around the dark soliton component, with speed of the
shelf proportional to the background intensity. Conservation laws of
the Manakov system are used to determine the properties of the shelf and
perturbed solutions. Our analytical predictions are corroborated by
numerical simulations..
Fri, Apr 12
Geometry and Topology Seminar
Indira Chatterji (University of Côte d'Azur / Fields Institute)
TBA
4:00PM, 122 Mathematics Building
TBA
Fri, Apr 19
Applied Math Seminar
Anna Vainchtein, University of Pittsburgh
TBA.
3:00PM, Math 122 and on Zoom - contact mbichuch@buffalo.edu for link
TBA.
Wed, Apr 24
Colloquium
Tomasz Mrowka, MIT
2023-24 Myhill Lecture #1
4:00PM
Title: 2023-24 Myhill Lecture #1
Thu, Apr 25
Colloquium
Tomasz Mrowka, MIT
2023-24 Myhill Lecture #2
4:00PM
Title: 2023-24 Myhill Lecture #2
Fri, Apr 26
Colloquium
Tomasz Mrowka, MIT
2023-24 Myhill Lecture #3
4:00PM
Title: 2023-24 Myhill Lecture #3
Fri, May 3
Applied Math Seminar
Willy Hereman, Colorado School of Mines
TBA.
3:00PM, Math 122 and on Zoom - contact mbichuch@buffalo.edu for link
TBA.