Speaker: Dr. Raghavendra Tripathi, New York University, UAE
Title:On Erdos matrices and related problems
Time, day and date: 2:00 PM - 3:00 PM, Monday, August 25
Venue: Department Conference Room

Talk by Dr Shubham Jaiswal, IITB Post Doc at 4 pm on Monday, 25.08.2025 in Ramanujan Hall .

Host : Prof. Dipendra Prasad

Title : Root clusters and number fields

Abstract, as given by Dr Shubham Jaiswal :

I will introduce the notion of root clusters of a polynomial and related
notions of root capacity and intersection indicium of field extensions and
discuss our results on the inverse problems for these concepts over number
fields. Further I'll introduce the notions of minimal generating sets of
Galois closure and compositum feasible triplets and discuss our main
results on these concepts over number fields. Our methods for all these
problems are Galois theoretic in nature and heavily rely on the known
cases of the inverse Galois problem.

The talk is based on my recent solo work as well as my earlier joint works
with Prof Vanchinathan and Prof Bhagwat.