CONFERENCE
Combinatorics, Dynamics and Geometry on Moduli Spaces
Combinatoire, dynamique et géométrie dans les espaces de modules
19 – 23 September, 2022
Scientific Committee
Comité scientifique
Alex Eskin (University of Chicago)
Ursula Hamenstädt (University of Bonn)
Maxim Kontsevich (IHÉS)
Howard Masur (University of Chicago)
Karen Vogtmann (University of Warwick)
Organizing Committee
Comité d’organisation
Giovanni Forni (University of Maryland)
Erwan Lanneau (Université Grenoble Alpes)
Carlos Matheus (CNRS, École Polytechnique)
Corinna Ulcigrai (University of Zürich)
Anna Wienhard (University of Heidelberg)
Several conferences in our research area were organized across the world. The first one was held at CIRM in 2003 and it served to reunite this community. Afterwards, two other conferences were organized at CIRM in 2009 and 2015. Also, we had about one conference of this type every year at several locations in the globe: CIRM, Chicago, Fields Institute, S’de Bocker (Israel), MSRI (Berkeley), Max Planck Institute (Bonn), HIM (Bonn), Oberwolfach…
Each of such conferences were extremely beneficial to all participants and this is what motivates us to organize a new one at CIRM in 2022. Indeed, the knowledge advances very quickly in our field (and we expect that many new results will be proved within the next two years), and this partly justifies the need for regular meetings of this kind.
One of the main goals of this conference is to exchange informations on new techniques and ongoing projects because they are often important to researchers in this field (as their backgrounds are often very different from each other) and sometimes these informations are not accessible (not even under the form of preprints) for several years due to their intricate nature.
Plusieurs conférences ont été organisées ces dernières années dans notre domaine à travers le monde. La première a été organisée au CIRM en 2003 et a fédéré cette communauté. Ensuite, deux autres conférences ont été organisées en 2009 et 2015. Par ailleurs, il y a environ une conférence par an sur le domaine à travers le monde : CIRM, Chicago, Fields Institute, S’de Bocker (Israel), MSRI (Berkeley), Max Planck Institute (Bonn), HIM (Bonn), Oberwolfach…
Chacune de ces conférences a été très profitable pour les participants. C’est une des raisons qui nous a poussé à en organiser une nouvelle. L’avancement de la connaissance particulièrement rapide dans notre domaine nécessite des rencontres régulières. Nous espérons que beaucoup de nouveaux résultats et de nouvelles idées vont apparaître dans les deux ans qui viennent.
Un des buts de la conférence est d’échanger des informations sur des approches nouvelles et sur les projets en cours. Souvent de telles informations ne sont pas accessibles pendant des années même sous forme de prépublication.
Speakers
Amol Aggarwal (IAS) Large Genus Asymptotics in Flat Surfaces
Paul Apisa (University of Michigan) Right triangles and Teichmüller dynamics in genus zero strata
Francisco Arana-Herrera (IAS) The shapes of complementary subsurfaces to simple closed hyperbolic multi-geodesics
Corentin Boissy (Institut de Mathématiques de Toulouse) The automorphism group of Rauzy diagrams
Jon Chaika (University of Utah) On the ergodicity of Rel with respect to Masur-Veech measure
Vincent Delecroix (CNRS, Université de Bordeaux) Meanders beyond quadratic differentials
Alex Eskin (University of Chicago) Ruminations on a theorem of Furstenberg
Samantha Fairchild (University of Washington) Shrinking rates of horizontal gaps for generic translation surfaces
Élise Goujard (Université de Bordeaux) Volumes of odd strata of quadratic differentials
Sam Grushevsky (Stony Brook University) Ends of strata of differentials
Ursula Hamenstadt (University of Bonn) Dynamics at infinity on strata of differentials
Pascal Hubert (CIRM Aix-Marseille Université) How to live without Zorich phenomenon?
Maxim Kontsevich (IHES) Wall-crossing for saddle connections
Chris Leininger (Rice University) Veech groups and fibered 3-manifolds
Anja Lenzhen (Université de Rennes) Teichmüller disks with small limit sets in Thurston boundary
Howard Masur (University of Chicago) Counting pairs of saddle connections on translations surfaces
Martin Möller (Goethe University Frankfurt) Geometry of strata of abelian differentials
Kasra Rafi (University of Toronto) A compactification of the sub-linearly Morse boundary
Sasha Skripchenko (HSE Moscow) Real-normalised differential with a single order 2 pole
Gabriela Weitze-Schmithusen (Saarland University) On the systolic ratio of translation surfaces
Alex Wright (University of Michigan) The asymmetry of Thurston’s earthquake flow
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