Wed, February 1, 2017
Public Access

Category: All

February 2017
Mon Tue Wed Thu Fri Sat Sun
    1 2 3 4 5
6 7 8 9 10 11 12
13 14 15 16 17 18 19
20 21 22 23 24 25 26
27 28          
11:00am [11:00am] Srikanth Srinivasan
Title: The Capset bound of Croot-Lev-Pach and Ellenberg-Gijswijt Abstract: A construction of Behrend from the 1940s shows that there are subsets of [N] of size N^{1-o(1)} that contain no 3-term APs (also called capsets). For a long time, it was open whether there is such a construction over F_3^n (i.e. a capset in F_3^n of size 3^{n-o(n)}). Recently, building on work of Croot, Lev and Pach, it was shown by Ellenberg and Gijswijit ( ) that such a construction does not exist: i.e. any capset in F_3^n can have size at most c^n for some c < 3. The construction has had several applications already in Combinatorics and Theoretical Computer Science. We will see a proof of the theorem of Ellenberg and Gijswijt

[11:30am] R. V. Gurjar
Title. Rational Surface Singularities. Title. We will prove a purely numerical criterion due to M. Artin to test the rationality of a surface singularity. In practice this is the criterion which is used when a rational surface singularity is being considered.

2:00pm [2:30pm] Dr. Raj Dhara
Title: Existence and regularity theory in weighted Sobolev spaces and applications. Abstract: My emphasis in this talk will be on functional analytical tools to the solvability and uniqueness of solutions to the nonhomogeneous boundary value problems, dealing with degenerate PDEs of elliptic type. My aim is to consider possibly general class of weights. In particular, I consider the $B_{p}$-class of weights, introduced by Kufner and Opic, which is much more general class than the commonly studied Muckenhoupt $A_{p}$-class.