The Hodge theory of algebraic maps


Mark Andrea de Cataldo

State University of New York, Stony Brook

Northeastern University

Thursday, November 3, 2005


Talk at 4:30 p.m. in 509 Lake Hall

Tea at 4:00 p.m. in 544 Nightingale Hall


Abstract:   Given a map of algebraic varieties, the Decomposition Theorem expresses an important relation between the (co)homology of the domain and the one of the target. This result had been conjectured by Gelfand and MacPherson and has been proved in the early 80's by Beilinson, Bernstein, Deligne and Gabber using algebraic geometry in positive characteristic. I will discuss some new Hodge-theoretic structures and the role they play in a geometric proof of the Decomposition Theorem obtained in joined work with L. Migliorini.

Here are some directions to Northeastern University. Lake Hall and Nightingale Hall can be best accessed from the entrance on the corner of Greenleaf Street and Leon Street. The two halls are connected, with no well-defined boundary in between. In particular, 509 Lake Hall is on the same corridor as 544 Nightingale Hall.

There is free parking available for people coming to the Colloquium at Northeastern's visitor parking (Rennaisance Garage). The entrance is from Columbus Avenue. If coming by car, you should park there and take the parking talon. After the lecture, you may pick up the payment coupon from Andrei Zelevinsky.

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Posted:: October 24, 2005    URL: