PhD defence seminar:

Title: Totally positive field extensions and pythagorean closures of
formally real fields.
Day-Date: Friday, 24.02.2023
Time: 10 AM - 11 AM
Venue: Room no 216, Department of Mathematics.

Bombay Seminar Series on Probability and Statistics (BSSPS)

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Venue: Ramanujan Hall

Host: Ayan Bhattacharya

Dates: Thursday, 23 February 2023, 11.30 am and 4 pm

            Friday, 24 February 2023, 10 am

Speaker: Prof. Arup Bose

Affiliation: ISI, Kolkata

Title: Non-commutative probability and its connections to random matrices

Abstract: In this talk, the connection of the non-commutative probability to the large-dimensional random matrices will be discussed. This talk will be accessible to a wide audience.

Virtual Commutative algebra seminar

Friday, 24 February 2023, 5:30pm IST

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 Host: J. K. Verma

Venue: Gmeet link: meet.google.com/pur-voek-uvo

Speaker: Luis Duarte

Affiliation: University of Genoa, Genoa, Italy 

Title: Perturbations of ideals in local rings

Abstract: Let I be an ideal of a Noetherian local ring R. We study how properties of the ideal change under small perturbations, that is, when I is replaced by an ideal J which is the same as I modulo a large power of the maximal ideal. In particular, assuming that R/J has the same Hilbert function as R/I, we show that the Betti numbers of R/J coincide with those of R/I. We also compare the local cohomology modules of R/J with those of R/I.

For more information and links to previous seminars, visit the website of VCAS: https://sites.google.com/view/virtual-comm-algebra-seminar