Topology and Related Topics Seminar

Tuesday, 10  October  2023, 2:30 pm

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Venue: Ramanujan hall

Host: Rekha Santhanam

Speaker: Navnath Daundkar

Affiliation: IIT Bombay

Title: Cohomology of moment angle complexes
Abstract: The goal of this series of talks is to show that the integral cohomology ring of a moment angle complex associated with the simplicial complex $K$ is isomorphic to the tor algebra of $K$. In the first talk, we will present various constructions of moment angle complexes and prove that those associated with simplicial spheres form topological manifolds.

 IPDF Candidate Statistics Seminar
 Tuesday, 10th October, 5:30 pm
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 Venue: Online. Details can be obtained from the host
 Host: Sanjeev Sabnis

 Speaker: Neeraj Poonia
 Affiliation: IIT Mandi
 

Title: Temperature modeling using a new statistical distribution derived from the Clayton copula

Abstract: Due to global warming, temperature is getting elevated around the world which further leads to deglaciation in mountainous regions and disturbs the overall climate dynamics. The Northwest Himalayan region has many glaciers and rising temperatures in this region can cause flood in rivers which is destructive to economic activities. In this talk, I will discuss the newly constructed bivariate exponentiated Teissier distribution using the Clayton copula. Further, some statistical properties along with the parameter estimation techniques will be discussed. In this work, the maximum likelihood estimation and inference function of margin procedures for parameter estimation are compared through a simulation study for the proposed model. Finally, to show the applicability of the proposed model, the bivariate exponentiated Teissier distribution is used for modeling the temperature data over 525 grids of the Northwest Himalayan region, and some interesting patterns are observed.