Thu, November 22, 2018
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November 2018
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11:00am [11:00am] Debanjana Mitra
PDE seminar on Control and homogenization: Title: Control of wave equation. Time: Thursday, 22-11-18, 11am-12:15pm. Venue: Room 216 Speaker: Debanjana Mitra. Abstract: In this talk, we will discuss the controllability of wave equation with variable coefficients. The main objectives are to understand the proof of the observability inequality and how the constants in the inequality depend on the coefficients of the wave equation.

[11:30am] Tony J. Puthenpurakal
Commutative algebra seminar Time: 22 Nov, Thursday, 11am-12noon. Venue: Ramanujan Hall. Speaker : Tony J. Puthenpurakal. Title: On p_g ideals. Abstract: Let $(A,\m)$ be an excellent normal domain of dimension two. We define an $\m$-primary ideal $I$ to be a $p_g$-ideal if the Rees algebra $A[It]$ is a \CM \ normal domain. When $A$ contains an algebraically closed field $k \cong A/\m$ then Okuma, Watanabe and Yoshida proved that $A$ has $p_g$-ideals and furthermore product of two $p_g$-ideals is a $p_g$ ideal. In this talk we show that if $A$ is an excellent normal domain of dimension two containing a field $k \cong A/\m$ of characteristic zero then also $A$ as $p_g$-ideals. Furthermore product of two $p_g$-ideals is $p_g$.

3:00pm [3:00pm] Soumalya Joardar
Analysis Seminar. Time:Friday, 22 November, 3-4 pm. Venue: Ramanujan Hall. Speaker: Soumalya Joardar. Title: Quantum Symmetry and graph C*-algebra. Abstract: is attached.

4:00pm [4:00pm] Mathematics Colloquium
Mathematics Colloquium Time: 4.00-5.00 pm, Wednesday, 21 November , 2018. Venue: Ramanujan Hall Speaker: Hema Srinivasan Affiliation: University of Missouri, Columbia, MO, USA Title: Resolutions of Semigroup Rings Abstract: We consider the semigroup rings $S = k[t^{a_i}| 1\le i\le n] \subset k[t]$ of embedding dimension $n$ over a field $k$. We write $S = k[x_1, \ldots, x_n]/I_{a_1, \ldots, a_n}$ and explicitly construct the minimal free resolutions of $S$ over $k[x_1, \ldots, x_n]$ when ${a_1, \ldots, a_n}$ are special and derive formulae for the invariants such as Betti Numbers, Cohen-Macaulay type, Frobenius numbers, Hilbert Series and Regularity.

5:00pm [5:30pm] Madhusudan Manjunath
CACAAG seminar. Time: Thursday, 22 November, 5:30-6:15. Venue: Room 105. Speaker: Madhusudan Manjunath. Title: Combinatorial Brill-Noether Theory, Stanley Theory, Castelnuovo-Mumford Regularity. Abstract: We discuss ongoing work where we relate Brill-Noether theory on a finite graph to homological invariants of certain modules associated to it. Our approach resembles Stanley's commutative algebraic approach to enumeration of magic squares.