Humboldt University Berlin, Summer 2024
Time: Tuesdays 13:15 - 14:45
Venue: Room 3.006, Rudower Chaussee 25, 12489 Berlin
— See also the Algebraic Geometry Seminars at HU and FU —
| 30.04.2024 | Alessandro Ghigi (Pavia) |
| Title: | Projective structures on Riemann surfaces and metrics on the moduli space of curves |
| Abstract: | I will describe some recent results on projective structures on Riemann surfaces. After recalling some basic definitions I will explain a correspondence between varying projective structures over the moduli space of curves and (1,1)-forms over it. I will describe explicitely the correspondence in two examples: the projective structure coming from uniformization and a projective structure coming from Hodge theory. Finally I will also describe a new projective structure obtain from the line bundle \( 2 \Theta\). |
| 07.05.2024 | Victor Gonzalez Alonso (Hannover) |
| Title: | Infinitesimal rigidity of certain modular morphisms |
| Abstract: | The Torelli morphism maps (the isomorphism class of) a smooth complex projective curve to its polarized jacobian variety. It has been recently proved by Farb that this is the only non-constant holomorphic map from the moduli space of curves to that of principally polarized abelian varieties, and Serván has recently proved a similar result for the Prym morphism. These result can be interpreted by saying that a certain moduli space of morphisms consists of just one point, and it is natural to ask whether this point is reduced. In this talk I will present a joint work with Giulio Codogni and Sara Torelli, where we show that this is indeed the case (in the setting of moduli stacks): These morphisms do not admit non-trivial infinitesimal deformations. The proof uses the Fujita decomposition of the Hodge bundle of a family of curves, and can be applied to other morphisms involving moduli of smooth curves. |
| 21.05.2024 | Emiliano Ambrosi (Strasbourg) |
| Title: | tba |
| Abstract: | tba |
| 28.05.2024 | Paul Ziegler (Darmstadt) |
| Title: | tba |
| Abstract: | tba |
| 11.06.2024 | Marco Flores (HU Berlin) |
| Title: | tba |
| Abstract: | tba |
| 25.06.2024 | Gari Yamel Peralta Alvarez (HU Berlin) |
| Title: | tba |
| Abstract: | tba |
| 02.07.2024 | TBC - Remy van Dobben de Bruyn (Utrecht) |
| Title: | tba |
| Abstract: | tba |
| 16.07.2024 | Jürg Kramer (HU Berlin) |
| Title: | tba |
| Abstract: | tba |