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

Forschungsseminar "Algebraische Geometrie"

Sommersemester 2016

Das Forschungsseminar findet mittwochs in der Zeit von 15:00 - 17:00 Uhr in der Rudower Chaussee 25, 12489 Berlin-Adlershof, Raum 2.006 (Haus 2, Erdgeschoss), statt.

Seminar: Algebraic Geometry an der FU

20.04.2016 Juan Carlos Naranjo (Universitat de Barcelona)
Title: Xiao's conjecture for generic fibred surfaces

Abstract: Xiao's conjecture deals with the relation between the natural invariants present on a fibred surface f:S --> B: the irregularity q of S, the genus b of the base curve B and of the genus g of the fibre of f. In this talk we will prove that the inequality q-b <= g-c, where c is the Clifford index of the generic fibre. This gives in particular a proof of the (modified) Xiao's conjecture, q-b <= g/2 +1, for fibrations whose general fibres have maximal Clifford index. In the first part of the lecture we will review the state of the art and we will give some motivations. This is a joint work with Miguel Ángel Barja and Víctor González-Alonso.
04.05.2016 Talk 1 (15:15 - 16:15) Alessandro Verra (Universita Roma Tre)
Title: TBD

Abstract: TBD
04.05.2016 Talk 2 (16:30 - 17:15) Alice Rizzardo (Trieste)
Title: An example of a non-Fourier-Mukai functor between derived categories of coherent sheaves

Abstract: Orlov's famous representability theorem asserts that any fully faithful exact functor between the bounded derived categories of coherent sheaves on smooth projective varieties is a Fourier-Mukai functor. We will show that this result is false without the fully faithfulness hypothesis. This is joint work with Michel Van den Bergh.
11.05.2016 Enrico Arbarello (Universita Roma La Sapienza)
Title: TBD

Abstract: TBD
18.05.2016 Richard Rimanyi (University of North Carolina)
Title: TBD

Abstract: TBD
01.06.2016 Alexis Kouvidakis (University of Crete)
Title: TBD

Abstract: TBD


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