1. APS seminar

Time, Day and Date: Tuesday 17th September, 3:30 pm

Speaker: Priyanka Sen

Venue : Room 113

Title : Large sample behaviour of high-dimensional Kendall's correlation
matrices with dependence

Abstract : The limiting spectral distribution (LSD) of Kendall's
correlation matrix has been established in the literature under conditions
of row dependence. However, the assumptions used in prior works are
non-interpretable and difficult to validate, especially in non-Gaussian
settings. In this talk, we shall discuss the same under more interpretable
assumptions that are easier to visualize and can be validated in a wider
range of non-Gaussian models. Moreover, we shall discuss the joint
convergence of multiple Kendall's correlation matrices and the LSD of
polynomials formed from these matrices. This significantly extends the
existing results in the study of the high-dimensional random matrices.

Title: Matricial Ranges and Extremal Marginal States

Time: Tuesday, 17th September 2024, 5:00 pm - 6:00 pm

Venue: Room 105, Department of Mathematics, IIT Bombay

Abstract: The objective of this talk is twofold. Firstly, we will discuss
a long-standing open problem describing the matricial ranges of the Jordan
block of size three. Secondly, we will discuss various classes of extremal
marginal states that attain the Choi-rank bound given by K. R.
Parthasarathy.
 

2. Algebraic Groups Seminar

Day, Day and Time : Tuesday 17th Sept, 5:00 pm

Speaker: Shripad Garge

Venue : Ramanujan Hall

Title: Parabolic subgroups in reductive groups

Abstract : Let $G$ be a reductive group and $B$ a Borel subgroup in $G$.
We use Bruhat decomposition in $G$ to describe all parabolic subgroups
containing the Borel subgroup $B$.