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Wednesday, August 30, 2017
Public Access


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30
August 2017
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8:00am  
9:00am  
10:00am  
11:00am [11:00am] Venkitesh S.I. (IITB)
Description:
Speaker: Venkitesh S.I. (IITB) Title: The Szemeredi-Trotter Theorem Abstract: Given a finite set of points P in R^2 and a finite family of lines L in R^2, an incidence is a pair (p,l), where p\in P, l\in L and p is a point in l. The Szemeredi-Trotter Theorem states that the number of incidences is atmost a constant multiple of (|L||P|)^{2/3} + |L| + |P|. We give a proof by Tao, which uses the method of cell partitions.

12:00pm  
1:00pm  
2:00pm  
3:00pm  
4:00pm [4:00pm]Department Colloquium
Description:
Speaker: Prof. Eknath Ghate (TIFR) Title: Reductions of Galois Representations: Act 1.5 Abstract: We shall describe recent progress on the question of writing down the reductions of certain local Galois representations. We shall focus on the case of half integral slopes (especially slope 3/2) where the behaviour of the reduction is both more complicated and more interesting. Our proof uses the mod p Local Langlands Correspondence to reduce the problem to computing the reductions of certain locally algebraic representations of GL_2 of the p-adics on certain functions on the underlying tree.

5:00pm