SEMINARIO DI GEOMETRIA ALGEBRICA
(ONLINE)

Nell'ambito del seminario congiunto di geometria algebrica organizzato dai Dipartimenti di Matematica dell'Università e del Politecnico di Milano,

mercoledì 24 giugno alle 14:00 (collegamento alle 13:45)

si terrà il seguente seminario online su Zoom (Meeting ID: 854-7229-5137, Password: 5bTF7W):

 

Anna Barbieri
(Università degli Studi di Milano)

 

From stability conditions to special functions

 

Abstract: The Gamma function studied by Bernoulli appear all over mathematics and in particular whenever we study special contour integrals. We will review a class of special functions called Barnes multiple Gamma functions that generalize the Gamma function and we will see how they appear in the study of a class of stability conditions with a very
simple Donaldson-Thomas theory. This goes through solving a Riemann-Hilbert-Birkhoff (RHB) boundary value problem induced by the wall-crossing formula for DT counting invariants. Based on a joint work with T.Bridgeland and J.Stoppa.