The Index Theorem for sub-elliptic boundary problems


Charles Epstein

University of Pennsylvania

Northeastern University

Thursday, March 13, 2008


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

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


Abstract:   We show that the d-bar Neumann condition, suitably modified, defines a boundary condition for the Spin_C Dirac operator, which satisfies the classical 1/2-estimates. The index of the chiral form of this operator satisfies gluing formulae leading, inter alia, to gluing formulae for holomorphic Euler characteristics, a formula for relative indices of Szego projectors, the proof of a conjecture of Atiyah and Weinstein, and a new proof of the Atiyah-Singer index theorem.

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:: March 2, 2008    URL: