The organizers of the seminar for 20232024 are Ovidiu Costin, Jan Lang, and Jonathan Stanfill.
The regular time for the seminar will be Thursday from 11:30 a.m. – 12:30 p.m. eastern time. For more information, to request the Zoom meeting link, or if you are interested in giving a talk at the seminar, please contact Jonathan Stanfill or Jan Lang.
Date/Time  Location  Speaker  Institution  Title (click to see abstract)  Slides 

September 7 at 11:30am  MW 154  Jonathan Stanfill  The Ohio State University 
On domain properties of Besseltype operatorsMotivated by a recent study of Bessel operators in connection with a refinement of Hardy’s inequality involving 1/sin²(x) on the finite interval (0,π), we discuss domain properties of certain Besseltype operators with more general inverse square singularities at the interval endpoints. More precisely, we consider quadratic forms and operator realizations in L²((a,b);dx) associated with differential expressions of the form 
Slides AOTS Sep 7, 23 
September 21 at 11:30am  MW 154  Nicholas Castillo  The Ohio State University 
Global Rational Approximations of Functions with Factorially Divergent Asymptotic SeriesRational approximations of functions offer a rich mathematical theory. Touching subjects such as orthogonal polynomials, potential theory and of course differential equations. In this talk we will discuss a specific type of rational approximant, factorial expansions. In recent work with O. Costin and R. Costin we have developed a theory of dyadic expansions which improve the domain and rate of convergence when compared to the classical methods found in the literature. These results provide a general method for producing rational approximations of Borel summable series with locally integrable branch points. Surprisingly, these expansions capture the asymptoticly important Stokes phenomena. Additionally, we find applications in operator theory on Hilbert spaces providing new representations for (bounded and unbounded) positive and selfadjoint operators in terms of the semigroups and unitary groups they generate. Finally, as an example of an important application we discuss representing the tritronquée solutions of Painlevé’s first equation. 
Slides AOTS Sep 21, 23 
TBD  MW 154  Manasa Vempati  Liousiana State University 
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November  MW 154  Guest of Aurel Stan 
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November 16 at 11:30am  MW 154  Mateusz Piorkowski  KU Leuven 
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December 14 at 11:30am  MW 154  Winfred Sickel  University of Jena 
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January  MW 154  Klaus Kirsten  AMS Mathematical Reviews 
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April 18  MW 154  Fritz Gesztesy  Baylor University 
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TBD  MW 154  Gino Biondini  University at Buffalo, The State University of New York 
TBDTBD 
* Joint PDE Seminar talk