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Monday, July 31, 2017
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July 2017
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4:00pm [4:00pm]Nagarjuna Chary
Description:
Title: Local Fields Abstract: This is the first in a series of lectures on class field theory. We begin with Chapter 1 in Cassels and Frohlich.

[4:00pm]Prof. Sivaguru (TIFR Mumbai)
Description:
Title: Extension and Regularity of CR Functions near CR Singularities Abstract: CR functions are certain generalizations of holomorphic functions and CR manifolds are those that support CR functions. For instance, a pseudoconvex hypersurface in $\mathbb{C}^N$ is a CR manifold and CR functions are locally boundary values of holomorphic functions. We will begin by describing this holomorphic extension result before proceeding to discuss the codimension two case. Codimension two submanifolds of $\mathbb{C}^N$ generically have isolated CR singularities and we are interested in studying the behaviour of the extension of CR functions near CR singularities. We prove that under certain nondegeneracy conditions on the CR singularity this extension is smooth up to the CR singularity. This is joint work with Jiri Lebl and Alan Noell.

5:00pm
6:00pm