臨時談話会のご案内

日時：	2006年7月26日（水）　16:30～17:30 　　(16:00より１階ロビーでtea)
場所：	京都大学数理解析研究所 202 号室
講演者：	Gopal Prasad 氏（University of Michigan）
題目：	Fake projective planes
Abstract：	A fake projective plane is a smooth compact complex surface which is not the complex projective plane but has the same Betti numbers as the complex projective plane. The first fake projective plane was constructed by David Mumford in 1979 using p-adic uniformization. Two more examples were found by M.Ishida and F.Kato using a similar idea. Just recently JongHae Keum has given an example which may be different from the three known examples. In a joint work with Sai-Kee Yeung, I have given seventeen finite families of examples of fake projective planes and shown that these, and possibly three more, exhaust them. In another joint work with Sai-Kee Yeung I have studied quotients of the complex ball of dimension n by cocompact arithmetic subgroups of PU(n,1), and shown that except for n = 2 and 4, there are no quotients whose Betti numbers equal that of complex projective space of dimension n. If n = 4 there are four nonisomorphic quotients which have same Betti numbers as P^4. I will give an exposition of these results for a general mathematical audience.

◆ 専門家以外の方を対象とした易しいお話をお願いしております。

◆ 多数の教員および学生の方の参加をお待ちしております。