Fri, September 4, 2020
Public Access

Category:
Category: All

04
September 2020
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 29 30        
8:00am  
9:00am  
10:00am  
11:00am  
12:00pm  
1:00pm  
2:00pm  
3:00pm  
4:00pm  
5:00pm [5:30pm] Mandira Mondal, Chennai Mathematical Institute.
Description:
Date and Time: Friday 4th September 2020, 5:30 pm IST - 6:30 pm IST (joining time : 5:15 pm IST - 5:30 pm IST) Google Meet link: https://meet.google.com/yqu-mvvy-jrs Speaker: Mandira Mondal, Chennai Mathematical Institute. Title: Density functions for the coefficients of the Hilbert-Kunz function of polytopal monoid algebra Abstract: We shall discuss Hilbert-Kunz density function of a Noetherian standard graded ring over a perfect field of characteristic $p \geq 0$. We will also talk about the second coefficient of the Hilbert-Kunz function and the possibility of existence of a $\beta$-density function for this coefficient. Watanabe and Eto have shown that Hilbert-Kunz multiplicity of affine monoid rings with respect to a monomial ideal of finite colength can be expressed as relative volume of certain nice set arising from the convex geometry associated to the ring. In this talk, we shall discuss similar expression for the density functions of polytopal monoid algebra with respect to the homogeneous maximal ideal in terms of the associated convex geometric structure. This is a joint work with Prof. V. Trivedi. We shall also discuss the existence of $\beta$-density function for monomial prime ideals of height one of these rings in this context.
6:00pm