Events Calendar
Nov 6
14:00 - 15:00
Mathematical Physics & Integrable Systems seminar: Philipp Lampe (University of Kent)
SMSAS Mathematical Physics seminars
An expansion formula for quantised surface cluster algebras

This talk is based on a joint work with Ilke Canakci. We will begin by introducing surface cluster algebras, in elementary terms, using triangulations of surfaces (following the work of Fomin--Thurston). Next we discuss how to compute elements in surface cluster algebras by counting perfect matchings in graphs (following the work of Musiker--Schiffler--Williams). The basic concern of our account is to transfer the counting of perfect matchings to a quantised setup for certain types of surface cluster algebras. At the end I shall comment on a connection to generating functions of BPS states in mathematical physics.

Location

SR2,
Sibson Building (SibSR2)
United Kingdom
Map

Details

Open to All interested persons,

Contact: Dr Pavlos Xenitidis
E: P.Xenitidis@kent.ac.uk
School of Mathematics, Statistics and Actuarial Science

 

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