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Monday, September 18, 2017
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18
September 2017
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11:00am [11:30am]Prof. Madhusudan Manjunath
Description:
Seminar on Combinatorial aspects of commutative algebra and algebraic geometry. Title: What is a Syzygy? This talk will be introduction to syzygies: basic theorems, examples and some early applications. This is the first seminar on this topic.

12:00pm  
1:00pm  
2:00pm  
3:00pm  
4:00pm [4:00pm]Mayukh Mukherjee
Description:
Title: Asymptotic estimates on the geometry of Laplace eigenfunctions Abstract: Given a closed smooth Riemannian manifold M, the Laplace operator is known to possess a discrete spectrum of eigenvalues going to infinity. We are interested in the properties of the nodal sets and nodal domains of corresponding eigenfunctions in the high energy (semiclassical) limit. We focus on some recent results on the size of nodal domains and tubular neighbourhoods of nodal sets of such high energy eigenfunctions (joint work with Bogdan Georgiev).

5:00pm