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Tuesday, November 7, 2017
Public Access


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07
November 2017
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8:00am  
9:00am  
10:00am [10:00am]Sudeshna Roy
Description:
Title: Gotzmann's regularity and persistence theorem - III Abstract: Gotzmann's regularity theorem establishes a bound on Castelnuovo-Mumford regularity using a binomial representation (the Macaulay representation) of the Hilbert polynomial of a standard graded algebra. Gotzmann's persistence theorem shows that once the Hilbert function of a homogeneous ideal achieves minimal growth then it grows minimally for ever. We start with a proof of Eisenbud-Goto's theorem to establish regularity in terms of graded Betti numbers. Then we discuss Gotzmann's theorems in the language of commutative algebra.

[10:00am]Udit Mavinkurve
Description:
Speaker: Udit Mavinkurve Title: An Introduction to K-theory Abstract: Topological K-theory was one of the first instances of a generalized cohomology theory being used to successfully resolve classical problems involving very concrete objects like vector fields and division algebras. In this talk, we will briefly review some properties of vector bundles, introduce the complex K groups, and discuss some of their properties - including the all-important Bott periodicity theorem.

11:00am
12:00pm  
1:00pm  
2:00pm  
3:00pm [3:30pm]Rekha Santhanam
Description:
Homotopy theory Seminar (Lecture 5) Speaker: Rekha Santhanam Time & Date: 3:30 PM 7th November We will give proofs of Cellular approximation and then discuss fibrations and Blaker-Massey Homotopy Excision thorem.

4:00pm  
5:00pm