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Day, Date & Time: Tuesday, 21st May 2024 at 11:30 AM Speaker: Dr. Puspendu Pradhan, IISER Pune Title: PGL(2,q)-orbits of lines of PG(3,q) and binary quartic forms Venue: Google Meet: https://meet.google.com/hac-ugpk-kyn Abstract: Attached.
Algebraic Groups Seminar
Tuesday, May 14, 2024, 4 pm
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Venue: Ramanujan Hall
Host: Shripad M. Garge
Speaker: Saad
Affiliation: IIT Bombay, Mumbai
Title: Semi-simple groups of rank one
Abstract: We prove that a connected, semi-simple group of rank one is
isomorphic to SL(2) or PSL(2).
Title : Covariance Identities and Variance Bounds for Infinitely Divisible
Distributions and Their Applications.
Time : 11:30 am - 12:15 pm.
Date: May 22, 2024.(Wednesday)
Venue : Ramanujan Hall, Department of Mathematics, IIT Bombay.
Abstract : In this talk, we discuss a general covariance identity for
infinitely divisible distributions (IDD). Using this result, we derive
Cacoullos-type variance bounds for the IDD. Applications to some important
distributions are discussed, in addition to the computation of variance
bounds for certain posterior distributions. As another application, we
discuss the Stein-type identity for the IDD, which involves the Levy
measure. This result in turn is used to derive the Stein-type identity for
the generalized tempered stable distributions and the variance-gamma
distributions (VGD). This approach, especially for the VGD, is new and
simpler, compared to the ones available in the literature. Finally, we
discuss another application of the covariance identity in deriving known
and some new formulas for the weighted premium calculation principles for
the IDD.
Speaker: P.M.S. Sai krishna
Advisor: Professor Manoj K. Keshari
Title: Exponential maps and their applications
Date: Friday, 24 May 2024
Time: 11:00 AM
Venue: Ramanujan Hall
Google Meet link: https://meet.google.com/rsb-tvox-wdx
The Algebraic Groups seminar will meet at 4 pm today in room # 105,
typically for 90-120 minutes with a tea and snacks break at 5:00 pm.
Today we will begin the topic of ``nilpotent matrices" following the book
of Collingwood and McGovern. The aim of the subject is to classify nilpotent matrices (in the Lie algebra of a Lie group), and to understand their properties. The seminar presupposes no knowledge beyond eigenvalues and eigenvectors of a linear transformation.
The speaker today is Akash Yadava.