Speaker: Prof. Joydeep Dutta

About the Speaker: Prof. Joydeep Dutta is currently working as a Professor in the Department of Economic Sciences, Indian Institute of Technology Kanpur. He was the founding head of the Department of Economic Sciences at IIT Kanpur. His research interest primarily involves convex optimization, variational inequalities, bilevel programming and applications of optimization in game theory and economics. He completed his PhD from IIT Kharagpur and gained postdoctoral experience at ISI Delhi and The Autonomous University of Barcelona. He is very well known worldwide in the area of optimization and has collaborated with many renowned optimizers. He has co authored more than 50 research papers and published in top tier journals like, Math Program Series A, SIAM Journal of Optimization, Journal of Optimization Theory and Application, Optimization, Journal of Mathematical Analysis and Applications, Journal of Global Optimization etc. He has also co-authored 2 books, a few book chapters and few more books are in preparation. He has supervised several Ph.D. students as well as postdoc fellows. Apart from academics he is also a long distance cyclist, an avid reader and a dedicated railway-fan. He was a visiting faculty at school of AIDS at IIT Jodhpur during 2020-21.

Title of the Talk : Optimization and a few things I know about it.

Date, Time and venue:  23 Feb, 2024 at 5:00 p.m., @Meeting Room, Dept of Mathematics. 

Abstract: This talk starts trying to answer the "why" of the very basics of optimization and then moves quickly to the Lagrangian multiplier rule and the key idea behind it and at the same time providing a simple proof for the two variable case. Then the talk will proceed to study modern optimization through the celebrated Karush-Kuhn-Tucker conditions and proceed to show the role of convexity and Lagrange multipliers in modern optimization.