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“K3 surfaces and friends”

“K3 surfaces and friends”

Klaus Hulek (University of Hannover)

Joint Chebyshev Lab and PDMI RAS Colloquium

Thursday 17 May 17:00 Marble Hall (PDMI RAS, 27, Fontanka river embankment)

K3 surfaces are ubiquitous in mathematics. They appear in complex geometry, but also play a role in arithmetic or string theory. In this talk I will discuss K3 surfaces and their higher dimensional analogues, especially irreducible holomorphic symplectic manifolds (IHSM), also known as hyperkaehler manifolds (HK). I will also discuss the classification problem for these varieties, in particular the geometry of their moduli spaces.