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Invitations to Mathematics - Ovidiu Costin

photo of Ovidiu Costin
December 5, 2018
4:05PM - 5:35PM
Cockins Hall 240

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Add to Calendar 2018-12-05 16:05:00 2018-12-05 17:35:00 Invitations to Mathematics - Ovidiu Costin 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 realistic models of String Theory, Quantum Chromodynamics and General Relativity, but mathematically these bold applications still present major challenges. I will focus on the fundamental ideas behind resummation of divergent expansions, on their applications, and on what lies ahead. Note: This is part of the Invitations to Mathematics lecture series given each year in Autumn Semester. Pre-candidacy students can sign up for this lecture series by registering for one or two credit hours of Math 6193, class #9226 (with Prof H. Moscovici). Cockins Hall 240 Department of Mathematics math@osu.edu 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 realistic models of String Theory, Quantum Chromodynamics and General Relativity, but mathematically these bold applications still present major challenges. I will focus on the fundamental ideas behind resummation of divergent expansions, on their applications, and on what lies ahead.

Note: This is part of the Invitations to Mathematics lecture series given each year in Autumn Semester. Pre-candidacy students can sign up for this lecture series by registering for one or two credit hours of Math 6193, class #9226 (with Prof H. Moscovici).

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