Abstract for the talk on 02.06.2022 (11:00 h)SAXAG seminar
Hendrik Süß (Friedrich-Schiller-Universität Jena)
The normalised volume of toric singularities
02.06.2022, 11:00 h, MPI für Mathematik in den Naturwissenschaften Leipzig, E1 05 (Leibniz-Saal)
In my talk I will discuss the notion of normalised volume for log terminal singularities. For the special case of toric singularities this turns out to be closely related to the notions of Mahler volume and Santaló point in convex geometry. I will explain how well-known facts from convex geometry can be utilised to deduce non-trivial statements about toric singularities. The Mahler conjecture might have a short appearance as well.