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Algebra Seminar "Quotients of the polydisc with prescribed numerical invariants“, by Amir Dzambic (Christian-Albrecht University of Kiel)

Tid: 2023-09-20 15:15 till 16:15 Seminarium

Title: Quotients of the polydisc with prescribed numerical invariants


Abstract: In my talk I will be interested in complex algebraic varieties with the same Betti numbers as the n-fold product of projective lines over the complex numbers. After a short motivation I will focus on certain natural sources for such varieties, namely polydisc quotients X(G)=Hn/G, where Hn denotes the n-fold product of the upper half plane and G is a discrete cocompact and torsion-free subgroup (a lattice) of the group of biholomorphic transformations of Hn. I will hint how to find examples of varieties with specified Betti numbers coming from "irreducible" lattices G and will discuss some results and open questions on quotients X(G) which are isogenous to a higher product of algebraic curves.

Om händelsen
Tid: 2023-09-20 15:15 till 16:15


anitha [dot] thillaisundaram [at] math [dot] lu [dot] se

Sidansvarig: webbansvarig@math.lu.se | 2017-05-23