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SUMMARY:Colloquium dedicated to International Women in Mathematics Day
DTSTART;VALUE=DATE-TIME:20210511T081000Z
DTEND;VALUE=DATE-TIME:20210511T102500Z
DTSTAMP;VALUE=DATE-TIME:20260510T204054Z
UID:indico-event-336@indico.eimi.ru
DESCRIPTION:\n\n \n\n \n\n \n\n \n\nColloquium dedicated to\n\nInterna
 tional Women in Mathematics Day\n\nMay 11\, 2021\n\nRecordings of the col
 loquium talks on Youtube\n\n11:10 – 11:15 Introductory word by Peter 
 Zograf (PDMI and SPbU)\n\n11:15 – 12:00 Anton Zorich (Center for Advance
 d Studies\, Moscow\, and University of Paris)\n"How Maryam Mirzakhani has 
 counted simple closed geodesics on Riemann surfaces"\n\nI  will  say  s
 everal  words  about Maryam Mirzakhani and then will present her result
 s on asymptotic count of simple closed geodesics on a Riemann surface. At
  the end of the talk I will mention a development of the results of Mirzak
 hani in the case when the genus of  the surface is large. This developmen
 t is obtained jointly with V. Delecroix\, E. Goujard and P. Zograf\, us
 ing recent progress due to  A. Aggarwal. The talk would be informal\, no
 t always rigorous\, and the proofs would be omitted. As a compensation I w
 ill do my best to make it accessible to students of the third year. The te
 xt of  the presentation is in English\, but (if the audience does not obj
 ect) the talk will be given in Russian.\n\n12:05 – 12:50 Elise Goujard (
 University of Bordeaux)\n"Variations on meanders" (after a joint work with
  V. Delecroix\, P. Zograf and A. Zorich)\n\nA meander is a topological con
 figuration of a line (the road) and a transverse curve (the river) in the 
 plane\, or equivalently a pair of simple closed curves on the sphere. They
  appear in combinatorics\, theoretical physics\, and computational biology
 . Counting meanders with a given number of intersections (bridges) is stil
 l an open problem. Similarly one can define meanders on higher genus surfa
 ces: they correspond to topological configurations of pairs of simple clos
 ed curves on surfaces of higher genus. In this talk I will present some re
 sults\, joint with V. Delecroix\, P. Zograf and A. Zorich\, on the countin
 g of meanders and their variants with additional combinatorial constraints
 \, as well as their large genus asymptotics. We will see in particular tha
 t meanders can be encoded by some other combinatorial objects\, namely squ
 are-tiled surfaces\, that are easier to count.\n\n12:55 – 13:25 Peter Zo
 graf (PDMI and SPbU)\n"Asymptotics of volumes of moduli spaces" (after a j
 oint work with M. Mirzakhani)\n\nModuli spaces of Riemann surfaces (comple
 x algebraic curves) of genus g with n marked points carry a natural Kaehle
 r metric called Weil-Petersson metric. This metric and the corresponding v
 olumes play an important role in geometry and dynamics of moduli spaces\, 
 as well as in topological quantum gravity. In this talk I will explain how
  the Weil-Petersson volumes behave for growing g and n. \n\nhttps://indic
 o.eimi.ru/event/336/
LOCATION:Zoom
URL:https://indico.eimi.ru/event/336/
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