Fri, April 19, 2019
Public Access Category: All |
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- Time:
- 10:30am-12:30pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Lecture Series on Partial Differential Equations.
Speaker: Kirill Cherednichenko.
Affiliation: University of Bath.
Title: Periodic PDEs with micro-resonators: unified approach to
homogenisation and time-dispersive media.
Venue: Ramanujan Hall, Department of Mathematics.
Friday 19 April, 10.30 am - 12.30 pm.
Lecture IV.
Schur-Frobenius inversion formula the generalised resolvent on the
resonant inclusion. An effective description of the original family of transmission
problems. A time-dispersive effective formulation in the whole space. An example
of the effective formulae for a specific cell geometry. Band gaps and “metamaterial”
properties.
- Time:
- 2:30pm-3:30pm
- Location:
- Room No. 113, Department of Mathematics
- Description:
- Commutative algebra:
Date, Time, Venue: Friday, 19th Apr, 2:30 - 3:30 p.m.,Commutative algebra Room 113.
Title: Pure modules and Cohen-Macaulay rings
Abstract: This is a talk in Boij-Soderberg theory, which involves the
study of Betti cones over quotients of polynomial rings. These were
introduced by Boij-Soderberg in 2008, and explored further by
Eisenbud-Schreyer in 2009. I will give a quick introduction to this theory
and the main problems.
Finally, I will point out how of a result of mine (joint with Rajiv
Kumar) on the construction of pure modules over Cohen-Macaulay rings
follows immediately from the work of Eisenbud-Schreyer using Noether
Normalization, and the Auslander-Buchsbaum Formula (which are two
important results the students proved in the reading course).
I will try to make the talk as self-contained as possible. All are welcome.