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SUMMARY:On the cohomology of smooth projective surfaces with p_g = q = 2 a
nd maximal Albanese dimension
DTSTART;VALUE=DATE-TIME:20181206T133000Z
DTEND;VALUE=DATE-TIME:20181206T143000Z
DTSTAMP;VALUE=DATE-TIME:20190822T115533Z
UID:indico-event-8766@ictp.it
DESCRIPTION:Abstract: \n In this talk I will report on a joint project wit
h Matteo Penegini (Genova). The second cohomology of a surface S as mentio
ned in the title splits up as a sum of two pieces. One piece comes from th
e Albanese variety. The other piece looks like the cohomology of a K3 surf
ace\, which we call a K3 partner X of S. If the surface S is a product-quo
tient then we can geometrically construct the K3 partner X and an algebrai
c correspondence that relates the cohomology of S and X. Finally\, we prov
e 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-quotie
nt surface.\n\nhttp://indico.ictp.it/event/8766/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://indico.ictp.it/event/8766/
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