Plenary talk, July 2006

In Honor of Ronald Douglas' Seventieth Birth-day, June 2-6, 2008, China

*A sheaf theoretic model for analytic Hilbert modules*, Hilbert Modules and Complex Geometry, Institute for Mathematics, Oberwolfach, April 5-9, 2009

*A sheaf model for semi-Fredholm Hilbert modules I*, Analysis Seminar, The University of Newcastle upon Tyne, October 28, 2010.

*A sheaf model for semi-Fredholm Hilbert modules II*, Analysis Seminar, The University of Newcastle upon Tyne, November 4, 2010.

Unnivesity of Leeds, October, 2010

*Reproducing kernel for a class of weighted Bergman spaces on the symmetrized polydisc*, AMS Sectional Meeting Cornell University, September 10-11, 2011

ICMS, Edinburgh, 16th - 18th January 2012

University of New South Wales, July 16-20, 2012

*Classification of homogeneous operators in the Cowen-Douglas class*, Indo-Spanish Conference on Geometry and Analysis, ICMAT, 10-14 September 2012 and

*Flag structure for operators in the Cowen-Douglas class*, Functional Analysis Seminar, University of Saarbrucken, February 12, 2014.

*Flag structure for operators in the Cowen-Douglas class*, Hilbert modules and Complex geometry, Institute for Mathematics, Oberwolfach, April 20-26, 2014.

*Contractive and completely contractive homomorphisms over function algebras*, Functional Analysis Seminar, University of Leipzig, July. 21, 2015.

*Homogeneous Hermitian holomorphic vector bundles and the Cowen-Douglas class*, Hilbert Modules in Analytic Function Spaces, Tsinghua Sanya International Mathematics Forum (TSIMF), May 26, 2017.

*Homogeneous bundles and operators in the Cowen-Douglas class*, International Workshop on Operator Theory and its Applications (IWOTA), East China Normal University, Shanghai, July 26, 2018.

*The Berger-Shaw theorem for a pair of commuting operators*, Hilbert Modules in Analytic Function Spaces, Tsinghua Sanya International Mathematics Forum (TSIMF), Dec 30, 2019.

Cochin University of Science & Technology, August 2001

Cochin University of Science & Technology, January 2005

*Homogeneous operators on Hilbert spaces of holomorphic functions*, Colloquium, Indian Institute of Science, Mar 2006.

Annual Meeting, IIT - Kanpur, May 2008.

IISER Kolkata, December 2010

*Counting*, INSPIRE, KIIT Bhubaneswar, January 14 and July 22, 2011.

*Differentiation (?)!*, Institute Colloquium (IISc), April 15, 2011.

*Computing $\pi$*, KVPY-11, IISER Trivandrum, June 21, 2011, 2011.

*A tale of two hotels*, INSPIRE, HNB Garhwal University, Srinagar Garhwal, November 12, 2011.

*Curvature Inequalities,*SunderFest, IMSc, April 4 - Apr 6, 2012.

Annual Meeting, New Delhi, Oct 2012

Indian Statistical Institute, Bangalore, Jan 2013

*Quasi-invariant kernels*, First Department Day, IISER - Kolkata, March 14 - 15, and Colloquium, IISER Pune, Sep 13, 2013.

*Zeroes of polynomials*, Science Academies Lecture workshop, Jain University, Bangalore, December 28, 2013.

*The Bergman kernel and the Bergman metric*, Recent Advances in Operator Theory and Operator Algebras, Indian Statistical Institute, Bangalore, December 15, 2014.

*Homogeneous Vector Bundles and intertwining Operators for Symmetric Domains*, Geometry of Banach Spaces and Operator Theory, March 27, 2015.

*Curvature Inequalities for operators in the Cowen-Douglas class*, Annual Conference of the RMS, IISER Mohalli, May 15, 2015, also at IMS Belgaum, Feb 27, 2022.

*Ethics in Science – the dos and don'ts*and a short video clip from Nature:

*Reproducibility Crisis*, SRFP 2016 - Special Lecture (Indian Academy of Sciences), June 17, 2016.

*The bound of Varopolous and embedding of $\ell^1(n)$*, Calcutta Mathematical Society, Dec 17 - 19, 2015 and Ramakrishna Mission Vidyamandir, September 27, 2016.

*Role of the curvature in Operator theory*, IIT Kanpur, December 14, 2016.

*Grothendieck Inequality*, R.K. Rubugunday Distinguished Lecture, Chennai Mathematical Institute (CMI), January 18, 2017.

*The Polynomial Game*and the

*Cantor Set*, Pi Day, IISER Pune, March 11, 2017.

*Fundamental Theorem of Calculus*, IIT Dharwad, April 12, 2018.

*Homogeneous Hermitian holomorphic vector bundles and the Cowen- Douglas class over bounded symmetric domains*, Somesh Chandra Bagchi Memorial Lecture, Sep 11, 2018

*Grothendieck Inequality,*Colloquium, ICTS, Bangalore, April 22, 2019.

*The Bergman Kernel*, Research Scholars Meet, Jammu University, August 22, 2019.

*The Arveson-Douglas conjecture for semi-submodules*, Conference on Functional Analysis @ IIT Bomby 2019, October 19, 2019.

*A product formula for homogeneous characteristic functions*, Plenary Lecture, Indian Mathematical Society, IIT Kharagpur, November 22, 2019.

*Berger-Shaw Theorem,*KBSFest, ISI Bangalore, December 13, 2019.

*1+2+3 + ... = - 1/12*, Gujarat University, December 22, 2019.

*Real stability of polynomials*, IIT Kanpur, December 25, 2019.

*Sushil Kumar Banerji Memorial lecture*, Indian Statistical Institute, Kolkata, February 28, 2020.

*Which homogeneous operators are subnormal,*, Punjab University, Feb 14; IISER Bhopal Math Symposium, Mar 6, and WOTOA, Aug 26, 2020.

*Mathematics of everything*, Pre-Event of IISF 2020, CSIR-CSMCRI, Bhavnagar, Dec 18, 2020.

*Determinant of an operator*, IIT Kharagpur, Mar 03, 2021.

*The euclidean ball and the polydisc,*, Ramakrishna Mission Centenary college, October 8, 2021

*Games that mathematicians play,*, Netaji Subhas Open University, November 27, 2021

*Ahlfors' Schwarz Lemma*, Mathematical Sciences Institute Belgaum, Feb 25, 2022.