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WKB analysis and hypergeometric differential equation
Around microdifferential operators, WKB expansions and resurgence analysis
Around microdifferential operators, WKB expansions and resurgence analysis
Organizers
Speaker
Time
Sunday, November 23, 2025 10:00 AM - 12:00 PM
Venue
A3-3-301
Online
Zoom 442 374 5045
(BIMSA)
Abstract
I plan to explain WKB type approach to solutions of higher order differential operators, relevant generalisation of the notions of the turning points and Stokes curves and, hopefully, some examples.
Speaker Intro
I am interested in non-commutative geometry in the widest sense. Some topics that I have been involved in:
• The C*-algebraic picture of the standard model, approach to quantum gravity and structure of Quantum Groups;
• Non-commutative probability, von Neumann algebras and applications to the invariants of three manifolds, and TQFT;
• Equivariant K- and KK-theory including homological approach and applications to Baum-Connes conjecture and classification theory of nuclear C*-algebras;
• Index theory in both analytic and formal algebraic context theory with applications to analysis, to complex and differential geometry;
• Homological algebra, deformation theory, algebraic K-theory and cyclic homology;
• Quantum Field Theory, Solitons, Loop Quantum Gravity, eksperimental low temperature physics.
My publication list: https://publicationslist.org/Ryszard_Nest
For PhD-students, see https://genealogy.math.ndsu.nodak.edu/id.php?id=43937
A bit about my past:
1976 master degree - in between a high school teacher - 1987 phD-degree, both Copenhagen University. Since then tenured position at Copenhagen University
2005 - 2020 professor, Mathematics Institute, Copenhagen University, since 2020 professor emeritus position
2004 - Main organiser (with Max Karoubi) of the semester on Non-commutative geometry and K-theory, centre Emile Borel, Paris, France
2005-2008 - Director of the FNU Center of Non-commutative Geometry, at Mathematics Department, Copenhagen University
2007 - Member of the board of Center for noncommutative geometry and topology, Fredericton, Canada
2009 - Invited speaker at the International Congress of Mathematical Physics, Prague, 2009
2010 - Member of the advisory board of the Programme in Non-Commutative Geometry, RIMS, Kyoto
Since 2020 - Editor duties: The Journal of Non-Commutative Geometry, Georgian Journal of Mathematics
Since 2022 - Ulam professor, Boulder CO
Since 2023 - Gauss professor, Göttingen DE
2018-2024 - Member of the evaluation panel for the ERC advanced grants applications
Since 2024 - At present BIMSA visiting position
• The C*-algebraic picture of the standard model, approach to quantum gravity and structure of Quantum Groups;
• Non-commutative probability, von Neumann algebras and applications to the invariants of three manifolds, and TQFT;
• Equivariant K- and KK-theory including homological approach and applications to Baum-Connes conjecture and classification theory of nuclear C*-algebras;
• Index theory in both analytic and formal algebraic context theory with applications to analysis, to complex and differential geometry;
• Homological algebra, deformation theory, algebraic K-theory and cyclic homology;
• Quantum Field Theory, Solitons, Loop Quantum Gravity, eksperimental low temperature physics.
My publication list: https://publicationslist.org/Ryszard_Nest
For PhD-students, see https://genealogy.math.ndsu.nodak.edu/id.php?id=43937
A bit about my past:
1976 master degree - in between a high school teacher - 1987 phD-degree, both Copenhagen University. Since then tenured position at Copenhagen University
2005 - 2020 professor, Mathematics Institute, Copenhagen University, since 2020 professor emeritus position
2004 - Main organiser (with Max Karoubi) of the semester on Non-commutative geometry and K-theory, centre Emile Borel, Paris, France
2005-2008 - Director of the FNU Center of Non-commutative Geometry, at Mathematics Department, Copenhagen University
2007 - Member of the board of Center for noncommutative geometry and topology, Fredericton, Canada
2009 - Invited speaker at the International Congress of Mathematical Physics, Prague, 2009
2010 - Member of the advisory board of the Programme in Non-Commutative Geometry, RIMS, Kyoto
Since 2020 - Editor duties: The Journal of Non-Commutative Geometry, Georgian Journal of Mathematics
Since 2022 - Ulam professor, Boulder CO
Since 2023 - Gauss professor, Göttingen DE
2018-2024 - Member of the evaluation panel for the ERC advanced grants applications
Since 2024 - At present BIMSA visiting position