Real-normalised differential with a single order 2 pole | Vidéo | Carmin.tv

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Real-normalised differential with a single order 2 pole

By Alexandra Skripchenko

Appears in collection : Combinatorics, Dynamics and Geometry on Moduli Spaces / Combinatoire, dynamique et géométrie dans les espaces de modules

A meromorphic differential on a Riemann surface is said to be real-normalized if all its periods are real. Real-normalized differentials on Riemann surfaces of given genus with prescribed orders of their poles form real orbifolds whose topology is closely related to that of moduli spaces of Riemann surfaces with marked points. We propose a combinatorial model for the real normalized differentials with a single order 2 pole and use it to analyze certain ergodic properties of the corresponding absolute period foliation. It is a joint work with Igor Krichever and Sergey Lando.

Information about the video

Date of recording 22/09/2022
Date of publication 07/10/2022
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19960703
Cite this video Skripchenko, Alexandra (22/09/2022). Real-normalised differential with a single order 2 pole. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19960703
URL https://dx.doi.org/10.24350/CIRM.V.19960703

Domain(s)

Bibliography

KRICHEVER, Igor, LANDO, Sergei, et SKRIPCHENKO, Alexandra. Real-normalized differentials with a single order 2 pole. Letters in Mathematical Physics, 2021, vol. 111, no 2, p. 1-19. - https://doi.org/10.1007/s11005-021-01379-0

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