ICMS-IMSA Working Seminar

August 20, 2021, 4:30-6:30 pm

ICMS-Sofia, Room 403 and via Zoom

Prof. Rene Mboro

Institute of Mathematical Sciences of the Americas (IMSA)

The International Center for Mathematical Sciences – Sofia (ICMS-Sofia)

4:30-5:30 pm

On determinantal cubic hypersurfaces (after Iliev-Manivel, Beauville,…)

We give an account of the problem of writing an equation of a cubic (or other degree) hypersurface X as a (kind of) determinant of a matrix with homogeneous entries. Expressing the equation of X as a determinant is equivalent to produce an arithmetically Cohen-Macaulay vector bundle on X.

The talk will focus on the cases of cubic hypersurfaces of dimension at most 8.

Prof. Rodolfo Aguilar

Institute of Mathematical Sciences of the Americas (IMSA)

The International Center for Mathematical Sciences – Sofia (ICMS-Sofia)

5:30-6:30 pm

Quantum representations of fundamental groups of curves withinfinite image

We will report on some results due to Koberda-Santharoubane

that show that an element of $pi_1(P^1 – 3 points)$ has an infinite order under some quantum representations of the mapping class group.

Тhe lectures will be held in hall 403 of the Institute of Mathematics and Informatics and via Zoom.