ICTP SEMINAR - Thursday 6 December, at 14:30 - Johan Commelin (University of Freiburg)

[ICTP Math Section]

M A T H E M A T I C S   S E M I N A R S  2018


Thursday 6 December, at 14:30 hrs.



Johan Commelin (University of Freiburg)



Title: On the cohomology of smooth projective surfaces with p_g  = q = 2 
and maximal Albanese dimension


Abstract:

In this talk I will report on a joint project with Matteo Penegini 
(Genova). The second cohomology of a surface S as mentioned in the title 
splits up as a sum of two pieces. One piece comes from the Albanese 
variety. The other piece looks like the cohomology of a K3 surface, 
which we call a K3 partner X of S.If the surface S is a product-quotient 
then we can geometrically construct the K3 partner X and an algebraic 
correspondence that relates the cohomology of S and X. Finally, we prove 
the Tate and Mumford-Tate conjectures for all surfaces S that lie in the 
same connected component of the Gieseker moduli space as a 
product-quotient surface.


VENUE: Stasi Seminar Room(ICTP Leonardo da Vinci Building, first floor)

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Monica Petronela Ancuta
for Ms Mabilo
Secretariat of the ICTP Mathematics Section
math at ictp.it

Abdus Salam International Centre for Theoretical Physics
Strada Costiera 11
34151 Trieste
Italy

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