Arup Chattopadhyay - Selected Talk

Invited Talks:

``Operator Lipschitz estimates and an application", Conference on Operator Algebra and Related Topics - 2025 @ IIT Bombay, February 24-28, 2025, Indian Institute of Technology Bombay, 2025.
``Spectral shift functions of all orders", Noncommutative Mathematics and Applications (NCMA), October 24-26, 2024, Indian Statistical Institute, Bangalore Center, 2024.
Chief Guest and Given a talk entitled ``Trace Formulae in Perturbation Theory", International Day of Mathematics (PI-Day) and 5th Research Scholar Day, Department of Mathematics, NIT Silchar, March 14, 2024.
``Higher Order Trace Formulas in Several Variables", Conference on Functional Analysis and Fractals, Department of Mathematics, IIIT Allahabad, 2024.
``Higher Order Trace Formulas in Several Variables", 38th Annual Conference of Ramanujan Mathematical Society, Department of Mathematics, IIT Guwahati, 2023.
``Schmidt subspaces of block Hankel operators", Conference on functional analysis and Related Topics-2023 @ IIT Bombay, Department of Mathematics, IIT Bombay, 2023.
``Higher-order spectral shift for pairs of contractions via multiplicative path", 37th Annual Conference of Ramanujan Mathematical Society, SSN College of Engineering, Chennai, 2022.
``Approximation of the Spectral Action Functional", Operator Theory and Complex Geometry, On the occasion of the 65th birthday celebration of Prof. Gadadhar Mishra, IISER Kolkata, 2022.
``Trace formula and Helton-Howe type representation for a pair of contractions", 26th February, 2021, Discussion Meeting at Orange County, Coorg.
``Koplienko–Neidhardt trace formulae", 12th December 2019, Theoretical Statistics and Mathematics Unit, Indian Statistical Institute, Bangalore Centre, A conference on the occasion of 75th birthday of Professor Kalyan Bidhan Sinha.
``Rank of a shift invariant subspace of the Hardy space over the bidisc" in the ``colloquium Talk", 9th March, 2017, Department of Mathematics and Statistics, University of New Mexico.
``Wandering Subspaces of the Dirichlet Space Over Polydisc" in the conference entitled ``AMS Western Spring Sectional Meeting # 1099 , Special Session on Progress in Noncommutative Analysis" from 4th April to 6th April, 2014 at University of New Mexico, Albuquerque, New Mexico.
``Submajorization and Eigenvalue Inequalities" in the workshop entitled ``Functional Analysis and Probability Workshop", from 26th to 28th February, 2014, Coorg, India.

Given Talks:

"Trace Formula for Two Variables" in the Department of Mathematics and Statistics, from 9th April to 11th April 2014 at the University of New Mexico, Albuquerque, New Mexico.
"Koplienko Trace Formula" in the conference entitled "International Conference on Operator Algebras in Non-equilibrium Statistical Mechanics" from 17th December to 21st December 2012 at Bambolim Beach Resort, Goa, India.
"Koplienko Trace Formula for Unbounded Operators" in the workshop entitled "Quantum Probability, Noncommutative Geometry and Quantum Information", from Monday 16 to Wednesday 18 January 2012 at ICMS, 15 South College Street, Edinburgh, EH8 9AA.
"Weyl-von-Neumann-Berg Theorem and Two variables Trace Formula" in the conference entitled "Mathematical Foundations of Quantum Mechanics" at Indian Institute for Science Education and Research (IISER), Kolkata from 16 to 21 December 2018.

Seminars:

``Submajorization and eigenvalue inequalities”, Department of Mathematics and Statistics, University of New Mexico dated 6th September 2016.
``Tensor product of quotient Hilbert modules”, Department of Mathematics and Statistics, University of New Mexico dated 13th September 2016.
``Submajorization and Eigenvalue Inequalities", Stat-Math. Symposium by Doctoral and Post-Doctoral Fellows, Indian Statistical Institute, Bangalore, July 2014.
``Wandering Subspaces of the Bergman Space and the Dirichlet Space Over Polydisc", Analysis Seminar, Indian Statistical Institute, Bangalore. June 2013.

Lecture series:

Given a series of lectures on Teachers Training Program (30 Nov 2023 to 5 Dec 2023) at IIT Guwahati, 2023.
Given a series of lectures on functional analysis on Annual Foundation School-III at IIT Guwahati June 20 - July 17, 2022.
``Spectral theorem for unbounded self-adjoint operators", Four-week Lecture Series in Quantum Probability and Related Topics, Indian Statistical Institute, Bangalore, September 2014.