1. K-State home
  2. »Calendars
  3. »no title specified

Calendar

Rep Theory and Math Physics seminar: Bilinear expansions of lattices of KP τ-function in BKP τ-functions: a fermionic approach

Speaker: John Harnad (Concordia University, Mathematical Physics Lab, Centre de recherches mathématiques)

Title: Bilinear expansions of lattices of KP τ-function in BKP τ-functions: a fermionic approach

Abstract: The notion of Kadomtsev-Petviashvili (KP) and BKP τ- functions will be recalled, together with their representations as fermionic expectation values. Schur-type lattices of such KP and BKP τ-functions will be defined, corresponding to a given infinite general linear or orthogonal group element, labelled by partitions and strict partitions respectively. A bilinear expansion expressing elements of these lattices of KP τ-functions as sums over products of pairs of elements of associated lattices of BKP τ-functions  will be presented, generalizing earlier results relating determinants and Pfaffians of minors of  skew symmetric matrices, with applications to Schur functions and Schur Q-functions. Further applications include inhomogeneous polynomial τ-functions of KP and BKP type, with their determinantal and Pfaffian representations.

 

 

Dial-In Information

Visit website of the seminar for the zoom link about one-two days before the talk. 

Tuesday, February 23 at 12:00pm to 1:00pm

Event Type

Lecture, Colloquia, Seminar

Topic

Research and Innovation, Science and Technology

Audience

Current students, Faculty

Department
Mathematics, Department of
Subscribe
Google Calendar iCal Outlook