Invitations to Mathematics - Ovidiu Costin

Ovidiu Costin
October 16, 2024
4:10PM - 5:40PM
Cockins Hall 240

Date Range
2024-10-16 16:10:00 2024-10-16 17:40:00 Invitations to Mathematics - Ovidiu Costin Title: From divergence to convergenceSpeaker: Ovidiu CostinAbstract: Asymptotic expansions play a major role in our understanding of difficult mathematical problems. As it turns out however, most often these expansions do not converge --at least not in any classical sense. In the last few decades, through the effort of many mathematicians, methods to remedy these divergences have emerged in substantial generality. Resummation techniques are now used to solve previously intractable problems in analysis, nonlinear PDEs and mathematical physics. In physics their application led to major progress in our understanding of mathematical geodesy, interaction of matter with intense laser fields,  realistic models of String Theory, Quantum Chromodynamics, modularity and Ramanujan Mock Theta functions and many more. I will focus on the fundamental ideas behind resummation of divergent expansions, on their applications, and on what lies ahead.” Cockins Hall 240 America/New_York public

Title: From divergence to convergence

Speaker: Ovidiu Costin

Abstract: Asymptotic expansions play a major role in our understanding of difficult mathematical problems. As it turns out however, most often these expansions do not converge --at least not in any classical sense. In the last few decades, through the effort of many mathematicians, methods to remedy these divergences have emerged in substantial generality. Resummation techniques are now used to solve previously intractable problems in analysis, nonlinear PDEs and mathematical physics. In physics their application led to major progress in our understanding of mathematical geodesy, interaction of matter with intense laser fields,  realistic models of String Theory, Quantum Chromodynamics, modularity and Ramanujan Mock Theta functions and many more. 

I will focus on the fundamental ideas behind resummation of divergent expansions, on their applications, and on what lies ahead.”

Events Filters: