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UID:6032@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20220530T000000
DTEND;TZID=Europe/Paris:20220603T000000
DTSTAMP:20241221T194534Z
URL:https://www.i2m.univ-amu.fr/evenements/matemale-spring-school-2022-wit
 tens-finiteness-conjecture-for-skein-modules/
SUMMARY:School (Matemale\, France): Matemale Spring School 2022 : Witten's 
 finiteness conjecture for skein modules
DESCRIPTION:School: \n\n\n\n\n\n\n\n\n\nThis year\, we will study the recen
 t proof by Gunningham\, Jordan\, and Safronov of Witten's finiteness conje
 cture for skein modules of closed oriented 3-manifolds. The school is desi
 gned for Master students\, PhD students and researchers\, younger and olde
 r. Participants are encouraged to choose a (not yet attributed) talk in th
 e list. We are grateful to Renaud Detcherry\, Benjamin Haioun\, Francesco 
 Costantino and Ramanujan Santharoubane for elaborating the program.\nThe e
 vent is supported by the GDR Tresses\, the CIMI\, the Mathematics Institut
 e of Toulouse\, the ERC project NEDAG.\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nThe 
 conference will be about the proof of the finiteness conjecture for skein 
 modules by Gunningham-Jordan-Safronov. This conjecture of Witten asserts t
 hat for any oriented closed 3-manifold\, the Q(A)-vector spaces spanned by
  isotopy classes of links in M modulo the Kauffman skein relations is fini
 te dimensional. The Kauffman skein modules were first introduced by Przyty
 cki and Turaev as a way to generalize the Kauffman bracket polynomial of k
 nots and links in the 3-sphere . The conjecture is quite surprising as\, b
 y a result of Bullock\, the skein module of M specialized at A = −1 give
 s back the SL(2\,C)-character variety of M\, which is often infinite dimen
 sional. Witten allegedly formulated the conjecture based on the intuition 
 that a dim 3 + 1 TQFT whose values on 3-manifolds are the skein modules sh
 ould exist.\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nMore details and references here:
  program.\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nList of talks:\n0. Overview (Rena
 ud Detcherry)\n1. Kauffman skein module (Paolo Farina)\n2. Basic propertie
 s of skein modules (Rhea Palak Bakshi)\n3. Proof on examples (Giulio Belle
 tti)\n4. Gilmer-Masbaum’s evaluation map (Gregor Masbaum)\n5. Skein cate
 gory of a surface (Laura Marino)\n6. The skein category TFT\n7. Internal s
 kein algebras and modules (Patrick Kinnear)\n8. Stated skein algebras and 
 modules (Jules Martel)\n9. Skein algebras as deformation quantization (Lé
 o Bénard)\n10. Internal skein algebras as deformation quantization (Eilin
 d Karlsson)\n11. Quantum moment map (Jennifer Brown)\n12. Gluing of intern
 al skein modules (Benjamin Haïoun)\n13. Introduction to Deformation Quant
 ization modules (Renaud Detcherry)\n14. Finite dimensionality for holonomi
 c DQ modules (Julien Korinman)\n15. Proof of the conjecture (David Jordan)
 \n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nOrganizers :\n Francesco Costa
 ntino (Institut de Mathématiques de Toulouse)\nThomas Fiedler (Institut d
 e Mathématiques de Toulouse)\nDelphine Moussard (Institut de Mathématiqu
 es de Marseille)\nIf you are willing to participate\, please contact us by
  email.\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nWe will be accommodated in the Cent
 re de vacances "La Capcinoise"\, more precisely in their gites ruraux (htt
 ps://www.lacapcinoise.fr/). This is just for information\, you don't need 
 to make a reservation by yourself. We will cover the stay of the participa
 nts.\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nList of participants:\nRhe
 a Palak Bakshi (ETH Zurich)\nGiulio Belletti (Heidelberg University)\nLéo
  Bénard (Gottingen University)\nJennifer Brown (University of California 
 Davis)\nYenni Cherik (Université d'Aix-Marseille)\nRenaud Detcherry (Univ
 ersité de Bourgogne)\nPaolo Farina (Université de Toulouse)\nThomas Fied
 ler (Université de Toulouse)\nEmmanuel Graff (Université de Caen)\nBapti
 ste Gros (ENS Lyon)\nBenjamin Haïoun (Université de Toulouse)\nDavid Jor
 dan (University of Edinburgh)\nEilind Karlsson (Technische Universität M
 ünchen)\nPatrick Kinnear (University of Edinburgh)\nEdwin Kitaeff (Univer
 sité de Montpellier)\nJulien Korinman (Waseda University)\nTheodoros Lagi
 otis (University of Edinburgh)\nManousos Manouras (Université de Pau / Un
 iversity of Zaragoza)\nLaura Marino (Université de Paris)\nJules Martel (
 Université de Bourgogne)\nGregor Masbaum (Sorbonne Université)\nGabriel 
 Montoya-Vega (Georges Washington University)\nDelphine Moussard (Universit
 é d'Aix-Marseille)\nStepan Orevkov (Université de Toulouse)\nRaphaël Pa
 egelow (Université de Montpellier)\nAnthony Saint-Criq (Université de To
 ulouse)\nAlisa Sheinkman (University of Edinburgh)\nVladimir Vershinin (Un
 iversité de Montpellier)\nButian Zhang (Université de Toulouse)\n\n\n\n\
 n\n\n\n\n\n\n\n
CATEGORIES:École ou Master class
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