--- robots: noindex, nofollow --- # Lodha Minicourses November 23-27th, 2026 All the lectures are in the Harish-Chandra seminar room. In the cafeteria breakfast usually starts at 9+, lunch after 12:30, snacks at 4+, tea coffee & spa water the whole day. Monday BREAFAST 10:00-11:00 Chiranjib Mukherjee 11:30-12:30 Ved Gupta LUNCH Tuesday 10:00-11:00 Chiranjib Mukherjee 11:30-12:30 Ved Gupta LUNCH Wednesday BREAFAST 10:00-11:00 Chiranjib Mukherjee 11:30-12:30 Indira Chatterji LUNCH Thursday BREAFAST 10:00-11:00 Mahesh Krishna 11:30-12:30 Indira Chatterji LUNCH Friday BREAFAST 10:00-11:00 Mahesh Krishna 11:30-12:30 Indira Chatterji LUNCH TEA ## Titles and abstracts --- Name: Indira Chatterji Title: Parsing through the AI slop Abstract: I will be explaining what I understood of the the past october AI slop dump, more specifically the papers related to idempotent conjectures, and discussing some leftover open problems. --- Name:Chiranjib Mukherjee Title: Percolation and property (T) Abstract: --- Name: Ved Prakash Gupta Title: Angles between intermediate subalgebras Abstract: Understanding the relative positions of subobjects of a given object provides important structuralinformation and, in certain settings, contributes to their classification as well. Following this philosophy, various tools have been developed to study the relative positions of operator subalgebras of given operator algebras and of intermediate operator subalgebras of a given inclusion of operator algebras. In this direction, the notions of interior and exterior angles between intermediate subfactors of a given finite-index subfactor of type $II_1$ were introduced and employed by Bakshi et al in 2019. Soon after, similar notions and applications were illustrated in the category of unital (simple) $C^*$-algebras by Bakshi and the speaker. And, very recently, along with a PhD student Deepika Sharma, these notions of angles were generalized to the categories of $W^*$-algebras and non-unital $C^*$-algebras. This mini-course will be aimed at aquanting the audience with this development (based on some works among the speaker, Keshab Chandra Bakshi, Deepika Sharma, Sumit Kumar and Indrajit Ghosh). --- Name: Mahesh Krishna 1. Title: Non-commutative Buzano-Dragomir inequality and its applications Abstract: In 1973, Buzano derived a remarkable generalization of the Cauchy-Schwarz inequality. Like the Cauchy-Schwarz inequality, Buzano's inequality has found numerous applications in the study of numerical ranges, uncertainty principles, and bounds for the roots of polynomials. In this talk, we will explore the noncommutative aspects of this interesting and influential inequality. 2. Title: Noncommutative Heisenberg-Robertson-Schrodinger and Maccone-Pati Uncertainty Principles Abstract: The mathematical formulation of the Heisenberg uncertainty principle for operators on Hilbert spaces was developed by Robertson in 1929 and further generalized by Schrödinger in 1930. In 2014, Maccone and Pati introduced new uncertainty relations using orthogonal vectors. In this talk, we generalize these uncertainty relations to adjointable operators on Hilbert C*-modules. We highlight the differences between the Hilbert space and Hilbert C*-module settings, which become apparent through the emergence of additional terms in the resulting inequalities.