Student APS
Speaker: Pradyumna Poduri, IIT Bombay
Host: S. Krishnan
Title: On 4PC related matrices of complete bipartite graphs
Time, day and date: 10:00:00 AM – 10:40:00 AM, Monday, February 16
Venue: Room 113 
Online: https://meet.google.com/hui-ztpc-khr 
Abstract: In this presentation,  we focus on the $2$-Steiner distance matrix  of the complete bipartite graph $K_{m,n}$. This is  a matrix whose rows and columns are indexed by a 2-sized subset of vertices. The entry indexed by a row 2-sized subset and column 2-sized subset is the minimum number of edges in a connected subgraph that contains the union of the vertices in the row 2-sized subset and the column 2-sized subset.   For $K_{m,n}$, we get a complete set of eigenvectors and eigenvalues of its 2-Steiner distance. Along the way, we consider the $\Max$, $\Min$ and $\Mid$ matrices of $K_{m,n}$ and determine a complete set of eigenvectors for these matrices. We outline a common procedure for generating these eigenbasis. 

Deep Learning Methods in Mathematical Physics
Speaker: Prof. Ovidiu Calin, Department of Mathematics & Statistics, Eastern Michigan University
Host: S Baskar
Title: Review of Feed-Forward Neural Networks
Time, day and date: 10:00:00 AM – 11:00:00 AM, Monday, February 16
Venue: Ramanujan Hall
Abstract: This lecture presents an introduction to feed-forward neural networks, emphasizing their mathematical structure and relevance to modern problems in physics. We discuss how neural networks are trained, why they are effec.ve function approximators, and how they can be used to model physical systems governed by differential equations. The lecture serves as a foundation for a lecture series on deep learning methods in mathematical and computational physics

Student APS
Speaker: Kaushik Khamari, IIT Bombay
Host: Ananthnarayan Hariharan
Title: Intermediate extensions of the S_2-ification and connectedness
Time, day and date: 4:00:00 PM – 5:00:00 PM, Monday, February 16
Venue: Ramanujan Hall
Abstract: In 1994, Hochster and Huneke defined the S_2-ification of a noetherian local ring and established its relation with a connectedness condition on the spectrum. 
In this talk, we will define certain intermediate extensions of the S_2-ification and present a generalization of their connectedness result