[Turkmath:8486] ISTB-3 (Istanbul Number Theory Meetings)

[Kazim Buyukboduk]

Dear All,

The third of the Istanbul Number Theory meetings will be held on July 18th, Wednesday. We feel very lucky to have yet another distinguished speaker for this meeting, Prof. Gopal Prasad, visiting from Michigan and IAS-Princeton. His talk should be of interest to more geometrically oriented audience as well, so the colleagues on the more geometric side of arithmetic may care to join us as well.

The title and the abstract is attached below. The talk will take place at the Sabanci University Communication Center in Karakoy this once (we cordially thank Sabanci University for hosting us there -- also IMBM and Galatasaray University for hosting us for the first two meetings). You may find all the relevant information below.

Looking forward to meeting many of you next week.

Best regards,

Kazim

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Istanbul Number Theory Meetings - 3

Speaker: Prof. Gopal Prasad (Michigan/IAS Princeton)

Date and time: July 18, 2012 (Wednesday), 10:30am

Location:

Title: Fake projective spaces and cohomolgy of arithmetic groups

Abstract: A fake projective space of dimension n is a smooth complex projective variety whose cohomolgy groups with complex coefficients are same as those of the complex projective space of dimension n. If n=2, these varieties are called "fake projective planes", first of which was constructed by David Mumford in 1979 using p-adic uniformization. In collaboration with Sai Kee Yeung, I have determined them all. In higher dimension, we have looked at those ones which are uniformized by the complex n-ball and whose fundamental group is an arithmetic subgroup of PU(n,1). We have shown that fake projective spaces arising this way can have complex dimension at most 4. We have found examples of such spaces in dimension 4. These are all connected Shimura varieties.
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