Humboldt-Universität zu Berlin
Mathem.-Naturwissenschaftliche Fakultät
Institut für Mathematik

Forschungsseminar "Algebraische Geometrie"

Wintersemester 2019/20

Das Forschungsseminar findet mittwochs in der Zeit von 13:00 - 15:00 Uhr in der Rudower Chaussee 25, 12489 Berlin-Adlershof, Raum 1.114, statt.

Seminar: Algebraic Geometry an der FU

23.10.2019 Víctor González Alonso (Leibniz Universität Hannover)
Title: Subbundles of the Hodge bundle, fibred surfaces and the Coleman-Oort conjecture.

Abstract: The Hodge bundle of a semistable family of complex projective curves has two nested subbundles: the flat unitary subbundle (spanned by flat sections with respect to the Gauss-Manin connection), and the kernel of the Higgs field. The latter contains the flat subbundle, but it was not clear how strict the inclusion could be. In this talk I will show how to estimate the ranks of both subbundles and construct families where they are arbitrarily different. I will also discuss some implications of this result for the classification of fibred surfaces, as well as some connections with the Coleman-Oort conjecture on the (non-)existence of totally geodesic subvarieties in the Torelli locus of principally polarized abelian varieties. This is joint work with Sara Torelli.
30.10.2019 Andrey Soldatenkov (Humboldt-Universität zu Berlin)
Title: TBA.

Abstract: TBA.
06.11.2019 This week the seminar is replaced by the Brill-Noether Workshop of the AG+ Semester.
13.11.2019 Ignacio Barros (Northeastern University Boston)
Title: TBA.

Abstract: TBA.
20.11.2019 Ekaterina Amerik (Université de Paris-Sud)
Title: TBA.

Abstract: TBA.
Alexandru Dimca (Université de Nice-Sophia Antipolis)
Title: TBA.

Abstract: TBA.
09.12.2019 Special Colloquium: Caucher Birkar (University of Cambridge)
Title: TBA.

Abstract: TBA.
15.01.2020 Margherita Lelli-Chiesa (Università degli studi Roma Tre)
Title: TBA.

Abstract: TBA.
22.01.2020 Ulrike Riess (ETH Zürich)
Title: TBA.

Abstract: TBA.
05.02.2020 Kieran O'Grady (Università degli studi di Roma "La Sapienza")
Title: TBA.

Abstract: TBA.


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