# Veranstaltungsübersicht -- Wintersemester 2019/2020

 Freitag, 2019-10-25 10:30 Uhr Raum 404, Ernst-Zermelo-Str. 1 Matthias Paulsen (LMU München): The construction problem for Hodge numbers To a smooth complex projective variety, one often associates its Hodge diamond, which consists of all Hodge numbers and thus collects important numerical invariants. One might ask which Hodge diamonds are possible in a given dimension. A complete classification of the possible Hodge diamond seems to be out of reach, since unexpected inequalities between the Hodge numbers occur in some cases. However, I will explain in this talk that the above construction problem is completely solvable if we consider the Hodge numbers modulo an arbitrary integer. One consequence of this result is that every polynomial relation between the Hodge numbers in a given dimension is induced by the Hodge symmetries. This is joint work with Stefan Schreieder. Freitag, 2019-11-08 10:30 Uhr Raum 404, Ernst-Zermelo-Str. 1 Harry Schmidt (Uni Basel): Uniformization of dynamical systems and diophantine problems This is joint work with Gareth Boxall (Stellebosch University) and Gareth Jones (University of Manchester). We investigate certain number theoretic properties of polynomial dynamical systems, using the notion of a uniformization at infinity. In this talk I will explain how the ideas involved can be used in order to tackle various related problems on diophantine geometry. Freitag, 2019-11-29 10:30 Uhr Raum 404, Ernst-Zermelo-Str. 1 Dr. Christian Gleißner (Bayreuth): Klein's Quartic, Fermat's Cubic and Rigid Complex Manifolds of Kodaira Dimension One The only rigid curve is $\mathbb P^1$. Rigid surfaces exist in Kodaira dimension $-\infty$ and $2$. Ingrid Bauer and Fabrizio Catanese proved that for each $n \geq 3$ and for each $\kappa = -\infty, 0, 2,\ldots, n$ there is a rigid $n$-dimensional projective manifold with Kodaira dimension $\kappa$. In this talk we show that the result also holds in Kodaira dimension one. Freitag, 2019-12-20 10:30 Uhr Raum 404, Ernst-Zermelo-Str. 1 Simon Felten (Mainz): TBA Freitag, 2020-01-31 10:30 Uhr Raum 404, Ernst-Zermelo-Str. 1 Prof. Dr. Amador Martin-Pizarro (Freiburg): TBA Freitag, 2020-02-14 10:30 Uhr Raum 404, Ernst-Zermelo-Str. 1 Dr. Fabrizio Barroero (Roma Tre): TBA

## Abonnieren

Die Einträge dieser Veranstaltung können im iCalender Format abonniert werden. die URL dazu lautet:
http://wochenprogramm.mathematik.uni-freiburg.de/ical/WS2019-2020/OS-AlgZTalgGeom.ics