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Integration on Grassmannians and deformed monotone Hurwitz numbers
Multi angle
Authors : Do, Norman (Author of the conference)
CIRM (Publisher )
05A15 - Exact enumeration problems, generating functions
05E10 - Combinatorial aspects of representation theory
60B20 - Random matrices (probabilistic aspects)
15B52 - Random matrices
CIRM (Publisher )
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Abstract :
Integrals on the space U(N) of unitary matrices have a large N expansion whose coefficients count factorisations of permutations into "monotone" sequences of transpositions. We will show how this classical story can be adapted to integrals on the complex Grassmannian Gr(M,N), which leads to a 1-parameter deformation of the aforementioned enumeration. The resulting polynomials obey remarkable properties, some known and some conjectural. The notion of topological recursion inspired this work and we will briefly attempt to explain how and why. (This is joint work with Xavier Coulter and Ellena Moskovsky.)
Keywords : Hurwitz numbers; interlacing polynomials; topological recursion; Weingarten Calculus
MSC Codes : Keywords : Hurwitz numbers; interlacing polynomials; topological recursion; Weingarten Calculus
05A15 - Exact enumeration problems, generating functions
05E10 - Combinatorial aspects of representation theory
60B20 - Random matrices (probabilistic aspects)
15B52 - Random matrices
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 23/10/2023 Conference Date : 02/10/2023 Subseries : Research talks arXiv category : Combinatorics Mathematical Area(s) : Algebra ; Combinatorics ; Mathematical Physics Format : MP4 (.mp4) - HD Video Time : 00:55:58 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2023-10-02_Do.mp4 
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Information on the Event
Event Title : Probability and Geometry in, on and of non-Euclidian spaces / Probabilités et géométrie dans, sur et des espaces non-euclidiensEvent Organizers : Curien, Nicolas ; Garcia-Failde, Elba ; Petri, Bram ; Singh, Arvind Dates : 02/10/2023 - 06/10/2023 Event Year : 2023 Event URL : https://conferences.cirm-math.fr/2897.html
Citation Data
DOI : 10.24350/CIRM.V.20098703Cite this video as: Do, Norman (2023). Integration on Grassmannians and deformed monotone Hurwitz numbers. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20098703 URI : http://dx.doi.org/10.24350/CIRM.V.20098703 |
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Bibliography
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