BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Grisha Taroyan (HSE)
DTSTART:20220207T162000Z
DTEND:20220207T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/1/">Overview of the program for the spring term - 1</a>\n
 by Grisha Taroyan (HSE) as part of Study seminar on homotopy theory and ap
 plications\n\n\nAbstract\nWe will talk about general plans for this term\,
  cover some examples\, and time permitting will go through some material f
 rom Baez's notes\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroyan (HSE)
DTSTART:20220209T162000Z
DTEND:20220209T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/2
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/2/">Yoga of higher categories - 1. Grothendieck dream</a>
 \nby Grisha Taroyan (HSE) as part of Study seminar on homotopy theory and 
 applications\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroyan (HSE)
DTSTART:20220214T162000Z
DTEND:20220214T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/3
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/3/">Yoga of higher categories - 2. Postnikov towers and g
 roup cohomology</a>\nby Grisha Taroyan (HSE) as part of Study seminar on h
 omotopy theory and applications\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroyan (HSE)
DTSTART:20220216T162000Z
DTEND:20220216T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/4
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/4/">Yoga of higher categories - 3</a>\nby Grisha Taroyan 
 (HSE) as part of Study seminar on homotopy theory and applications\n\nAbst
 ract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroyan (HSE)
DTSTART:20220223T162000Z
DTEND:20220223T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/6
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/6/">Categorical preliminaries of topos theory - 1. Classi
 fication of subobjects</a>\nby Grisha Taroyan (HSE) as part of Study semin
 ar on homotopy theory and applications\n\n\nAbstract\nReview of basic cate
 gories and categorical constructions we will use: pullbacks\, subobject cl
 assfiers. Based first 4 paragraphs of the first chapter of "Sheaves in Geo
 metry and Logic"\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Arseny Kryazhev
DTSTART:20220228T162000Z
DTEND:20220228T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/7
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/7/">Homotopical categories - 1. Kan extensions</a>\nby Ar
 seny Kryazhev as part of Study seminar on homotopy theory and applications
 \n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroyan (HSE)
DTSTART:20220318T162000Z
DTEND:20220318T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/9
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/9/">Monoidal model categories - 1 (Monoidal categories)</
 a>\nby Grisha Taroyan (HSE) as part of Study seminar on homotopy theory an
 d applications\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroyan (HSE)
DTSTART:20220321T162000Z
DTEND:20220321T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/10
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/10/">Categorical preliminaries of topos theory - 2</a>\nb
 y Grisha Taroyan (HSE) as part of Study seminar on homotopy theory and app
 lications\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/10
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroyan (HSE)
DTSTART:20220325T162000Z
DTEND:20220325T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/11
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/11/">Monoidal model categories - 2</a>\nby Grisha Taroyan
  (HSE) as part of Study seminar on homotopy theory and applications\n\nAbs
 tract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/11
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroyan (HSE)
DTSTART:20220328T162000Z
DTEND:20220328T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/12
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/12/">Categorical preliminaries of topos theory - 3.</a>\n
 by Grisha Taroyan (HSE) as part of Study seminar on homotopy theory and ap
 plications\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/12
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroyan (HSE)
DTSTART:20220401T162000Z
DTEND:20220401T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/13
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/13/">Monoidal model categories - 3</a>\nby Grisha Taroyan
  (HSE) as part of Study seminar on homotopy theory and applications\n\nAbs
 tract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/13
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MSU)
DTSTART:20220404T162000Z
DTEND:20220404T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/14
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/14/">Kan extensions. Additional topics</a>\nby Misha Korn
 ev (MSU) as part of Study seminar on homotopy theory and applications\n\nA
 bstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/14
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MSU)
DTSTART:20220408T162000Z
DTEND:20220408T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/15
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/15/">Sheaves of sets - 1</a>\nby Misha Kornev (MSU) as pa
 rt of Study seminar on homotopy theory and applications\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/15
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MSU)
DTSTART:20220411T162000Z
DTEND:20220411T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/16
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/16/">Sheaves of sets - 2</a>\nby Misha Kornev (MSU) as pa
 rt of Study seminar on homotopy theory and applications\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/16
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MSU)
DTSTART:20220415T162000Z
DTEND:20220415T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/17
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/17/">Sheaves of sets - 3</a>\nby Misha Kornev (MSU) as pa
 rt of Study seminar on homotopy theory and applications\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/17
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MSU)
DTSTART:20220418T162000Z
DTEND:20220418T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/18
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/18/">Sheaves of sets - 4</a>\nby Misha Kornev (MSU) as pa
 rt of Study seminar on homotopy theory and applications\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/18
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cyrill Barlasov
DTSTART:20220422T162000Z
DTEND:20220422T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/19
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/19/">Quasicategories - 1</a>\nby Cyrill Barlasov as part 
 of Study seminar on homotopy theory and applications\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/19
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cyrill Barlasov
DTSTART:20220425T162000Z
DTEND:20220425T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/20
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/20/">Quasicategories - 2</a>\nby Cyrill Barlasov as part 
 of Study seminar on homotopy theory and applications\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/20
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroyan (HSE)
DTSTART:20220429T162000Z
DTEND:20220429T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/21
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/21/">Grothendieck topologies - 1</a>\nby Grisha Taroyan (
 HSE) as part of Study seminar on homotopy theory and applications\n\nAbstr
 act: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/21
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cyrill Barlasov
DTSTART:20220502T162000Z
DTEND:20220502T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/22
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/22/">Quasicategories - 3</a>\nby Cyrill Barlasov as part 
 of Study seminar on homotopy theory and applications\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/22
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cyrill Barlasov
DTSTART:20220506T162000Z
DTEND:20220506T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/23
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/23/">Quasicategories - 4</a>\nby Cyrill Barlasov as part 
 of Study seminar on homotopy theory and applications\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/23
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroyan (HSE\, UofT)
DTSTART:20220905T162000Z
DTEND:20220905T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/24
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/24/">Introduction to homotopical algebra (overview of the
  program for the Fall term)</a>\nby Grisha Taroyan (HSE\, UofT) as part of
  Study seminar on homotopy theory and applications\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/24
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroyan (HSE)
DTSTART:20220509T162000Z
DTEND:20220509T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/25
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/25/">Zariski site\, sheaves on sites</a>\nby Grisha Taroy
 an (HSE) as part of Study seminar on homotopy theory and applications\n\nA
 bstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/25
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cyrill Barlasov
DTSTART:20220513T162000Z
DTEND:20220513T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/26
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/26/">Quasicategories - 5</a>\nby Cyrill Barlasov as part 
 of Study seminar on homotopy theory and applications\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/26
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroyan (HSE)
DTSTART:20220516T162000Z
DTEND:20220516T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/27
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/27/">Associated sheaf functor on arbitrary sites</a>\nby 
 Grisha Taroyan (HSE) as part of Study seminar on homotopy theory and appli
 cations\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/27
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroyan (HSE)
DTSTART:20220520T162000Z
DTEND:20220520T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/28
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/28/">Elementary properties of categories of sheaves on si
 tes</a>\nby Grisha Taroyan (HSE) as part of Study seminar on homotopy theo
 ry and applications\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/28
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cyrill Barlasov
DTSTART:20220523T162000Z
DTEND:20220523T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/29
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/29/">Quasicategories - 6</a>\nby Cyrill Barlasov as part 
 of Study seminar on homotopy theory and applications\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/29
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Egor Teplyakov
DTSTART:20220527T162000Z
DTEND:20220527T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/30
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/30/">S - categories and simplicial localization</a>\nby E
 gor Teplyakov as part of Study seminar on homotopy theory and applications
 \n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/30
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroyan (HSE)
DTSTART:20220530T162000Z
DTEND:20220530T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/31
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/31/">Conclusion</a>\nby Grisha Taroyan (HSE) as part of S
 tudy seminar on homotopy theory and applications\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/31
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroyan (HSE\, UofT)
DTSTART:20220909T162000Z
DTEND:20220909T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/32
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/32/">Model categories and homotopical categories</a>\nby 
 Grisha Taroyan (HSE\, UofT) as part of Study seminar on homotopy theory an
 d applications\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/32
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroian (HSE\, UofT)
DTSTART:20220912T162000Z
DTEND:20220912T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/33
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/33/">Homotopy category of a model category\, model catego
 ries are saturated</a>\nby Grisha Taroian (HSE\, UofT) as part of Study se
 minar on homotopy theory and applications\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/33
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroian (HSE\, UofT)
DTSTART:20220916T162000Z
DTEND:20220916T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/34
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/34/">Quillen functors and derived functors - 1</a>\nby Gr
 isha Taroian (HSE\, UofT) as part of Study seminar on homotopy theory and 
 applications\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/34
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroian (HSE\, UofT)
DTSTART:20220919T162000Z
DTEND:20220919T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/35
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/35/">Quillen functors and derived functors - 2</a>\nby Gr
 isha Taroian (HSE\, UofT) as part of Study seminar on homotopy theory and 
 applications\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/35
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroian (HSE\, UofT)
DTSTART:20220926T162000Z
DTEND:20220926T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/37
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/37/">Homotopical cocompleteness and completeness of model
  categories - 1</a>\nby Grisha Taroian (HSE\, UofT) as part of Study semin
 ar on homotopy theory and applications\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/37
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroian (HSE\, UofT)
DTSTART:20220930T162000Z
DTEND:20220930T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/38
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/38/">Homotopical cocompleteness and completeness of model
  categories - 2</a>\nby Grisha Taroian (HSE\, UofT) as part of Study semin
 ar on homotopy theory and applications\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/38
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroian (HSE\, UofT)
DTSTART:20221003T162000Z
DTEND:20221003T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/39
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/39/">Homotopical cocompleteness and completeness of model
  categories - 3</a>\nby Grisha Taroian (HSE\, UofT) as part of Study semin
 ar on homotopy theory and applications\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/39
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Amartya Shekhar Dubey (NISER)
DTSTART:20221014T162000Z
DTEND:20221014T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/40
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/40/">Henry Model Structure</a>\nby Amartya Shekhar Dubey 
 (NISER) as part of Study seminar on homotopy theory and applications\n\nAb
 stract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/40
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MIRAS)
DTSTART:20221021T162000Z
DTEND:20221021T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/43
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/43/">Inconcretness of homotopy categories</a>\nby Misha K
 ornev (MIRAS) as part of Study seminar on homotopy theory and applications
 \n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/43
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Heiko Braun (University of Bonn)
DTSTART:20221031T162000Z
DTEND:20221031T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/44
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/44/">Joyal' Lifting Theorem</a>\nby Heiko Braun (Universi
 ty of Bonn) as part of Study seminar on homotopy theory and applications\n
 \nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/44
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MIRAS)
DTSTART:20221107T162000Z
DTEND:20221107T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/45
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/45/">Nerve—realization adjunction and bar construction<
 /a>\nby Misha Kornev (MIRAS) as part of Study seminar on homotopy theory a
 nd applications\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/45
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Logan Hyslop (UCLA)
DTSTART:20221111T162000Z
DTEND:20221111T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/46
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/46/">Introduction to analytic geometry</a>\nby Logan Hysl
 op (UCLA) as part of Study seminar on homotopy theory and applications\n\n
 Abstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/46
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MIRAS)
DTSTART:20221114T162000Z
DTEND:20221114T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/47
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/47/">Homotopically final functors and examples of calcula
 tions with homotopy (co)limits</a>\nby Misha Kornev (MIRAS) as part of Stu
 dy seminar on homotopy theory and applications\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/47
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MIRAS)
DTSTART:20221121T162000Z
DTEND:20221121T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/48
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/48/">Weighted (co)limits\, Gambino's theorem\, Reedy mode
 ls structures</a>\nby Misha Kornev (MIRAS) as part of Study seminar on hom
 otopy theory and applications\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/48
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MIRAS)
DTSTART:20221128T162000Z
DTEND:20221128T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/49
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/49/">Reedy models structures - 2</a>\nby Misha Kornev (MI
 RAS) as part of Study seminar on homotopy theory and applications\n\nAbstr
 act: TBA\n\nReferences (see https://sites.google.com/view/homotopy-basics-
 seminar/english-page/references) \n\n1) Emily Riehl. Categorical Homotopy 
 Theory (Chapter 14) \n\n2) Philip S. Hirschhorn. Model categories and thei
 r localizations (Chapter 15)\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/49
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MIRAS)
DTSTART:20221202T162000Z
DTEND:20221202T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/50
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/50/">Applications of Reedy theory</a>\nby Misha Kornev (M
 IRAS) as part of Study seminar on homotopy theory and applications\n\nAbst
 ract: TBA\n\nComments: References (see sites.google.com/view/homotopy-basi
 cs-seminar/english-page/references)\n\n1) Emily Riehl. Categorical Homotop
 y Theory (Chapter 14)\n\n2) Philip S. Hirschhorn. Model categories and the
 ir localizations (Chapter 15)\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/50
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cyrill Barlasov
DTSTART:20221212T162000Z
DTEND:20221212T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/51
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/51/">Brown representability theorem and homotopy types</a
 >\nby Cyrill Barlasov as part of Study seminar on homotopy theory and appl
 ications\n\n\nAbstract\nBrown theorem applies to functors from pointed CW-
 complexes to abelian groups.\nThere is a way to generalize it for arbitrar
 y complexes and groupoids.\nPart of the benefit is that it gives a categor
 ical description of homotopy types without any choice of specific model st
 ructure or weak equivalences.\n\nwe are going to make use of the notion of
  a groupoids family\, or "category fibered in groupoids\,"\nconstruction s
 imilar to a stack\nso you may want to refresh your knowledge\, and lookup 
 for that\, maybe in stacksproject (link related)\n\nhttps://stacks.math.co
 lumbia.edu/tag/0266\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/51
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Egor Teplyakov (IUM)
DTSTART:20221209T162000Z
DTEND:20221209T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/52
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/52/">Dold--Kan correspondence</a>\nby Egor Teplyakov (IUM
 ) as part of Study seminar on homotopy theory and applications\n\nAbstract
 : TBA\n\nReference (see https://drive.google.com/file/d/1in9hpDSE93-NjvCte
 srkoeuNP7_nQsdz/view?usp=sharing)\n\nPaul G. Goerss and Rick Jardine. Simp
 licial Homotopy Theory (Chapter III\, Section 2)\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/52
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroian (HSE\, UofT)
DTSTART:20221216T162000Z
DTEND:20221216T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/53
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/53/">Quillen's Rational Homotopy Theory</a>\nby Grisha Ta
 roian (HSE\, UofT) as part of Study seminar on homotopy theory and applica
 tions\n\n\nAbstract\nThis talk is an overview of an integral part of Ratio
 nal Homotopy Theory: Quillen Models. Due to the format\, almost no proofs 
 would be given. We would\, however\, see some very material applications o
 f model categories.\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/53
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroian (HSE\, UofT)
DTSTART:20221223T162000Z
DTEND:20221223T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/54
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/54/">Structures on homotopy category of a model category<
 /a>\nby Grisha Taroian (HSE\, UofT) as part of Study seminar on homotopy t
 heory and applications\n\n\nAbstract\nI will try to give a whirlwind tour 
 of ideas and methods that allow to endow the category $\\operatorname{Ho}(
 M)$ with a structure of a closed $\\operatorname{Ho}(sSet)$-module in a ca
 nonical way. We will also discuss pre-triangulated structures on homotopy 
 categories and see how a triangulation on the homotopy category makes a mo
 del category stable.\n\nReference (see https://drive.google.com/file/d/1in
 9hpDSE93-NjvCtesrkoeuNP7_nQsdz/view?usp=sharing)\n\nMark Hovey. Model Cate
 gories (Chapters 5--7)\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/54
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroian (HSE\, UofT)
DTSTART:20230109T162000Z
DTEND:20230109T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/55
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/55/">Topoi\, Higher Topoi and some examples</a>\nby Grish
 a Taroian (HSE\, UofT) as part of Study seminar on homotopy theory and app
 lications\n\n\nAbstract\nIn this talk\, I will try to motivate our program
  for this term. I will somewhat explain why a topos-theoretic perspective 
 can be beneficial for some concrete problems. I will also try to broadly e
 xplain one technical aspect in constructing examples of higher topoi --- J
 ardine model structure.\n\nThis talk is mainly based on two papers:\n\n1) 
 "Hypercovers and simplicial presheaves" Daniel Dugger\, Sharon Hollander\,
  Daniel C. Isaksen\, arXiv:math/0205027\n\n2) "Chern-Weil forms and abstra
 ct homotopy theory" Daniel S. Freed\, Michael J. Hopkins\,  arXiv:1301.595
 9\n\nIn the end\, the talk only covered the second paper in a meaningful w
 ay.\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/55
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroian (HSE\, UofT)
DTSTART:20230113T162000Z
DTEND:20230113T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/56
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/56/">Jardin Model Structure on sPSh(C)</a>\nby Grisha Tar
 oian (HSE\, UofT) as part of Study seminar on homotopy theory and applicat
 ions\n\n\nAbstract\nJardine model structure on simplicial presheaves is an
  example of a local model structure. This means that its weak equivalences
  are given by local weak equivalences. It is constructed as a left Bousfie
 ld localization of the injective model structure on simplicial presheaves.
  As it turns out\, it is possible to describe fibrant objects and fibratio
 n of this model structure in terms of homotopical descent. That is a homot
 opical version of the sheaf condition.\n\n\nThe talk will be primarily bas
 ed on the Dugger\, Hollander\, Isaksen paper arXiv:math/0205027v2.\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/56
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroian (HSE\, UofT)
DTSTART:20230116T162000Z
DTEND:20230116T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/57
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/57/">Higher Prequantum Geometry</a>\nby Grisha Taroian (H
 SE\, UofT) as part of Study seminar on homotopy theory and applications\n\
 n\nAbstract\nAs a result of this talk\, we will hopefully be able to answe
 r an age-old question: are higher categories applicable in the soviet econ
 omy?\n\nIn particular\, I will try to explain why higher geometric structu
 res are necessary to do physics. The presentation will be very informal in
  both physical and mathematical senses.\n\nThe primary source for this is 
 (the very beginning) of Urs Schreiber's book on Differential cohomology in
  higher cohesive topoi. (link: https://ncatlab.org/schreiber/files/dcct170
 811.pdf)\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/57
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroian (HSE\, UofT)
DTSTART:20230123T162000Z
DTEND:20230123T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/58
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/58/">Higher Prequantum Geometry II</a>\nby Grisha Taroian
  (HSE\, UofT) as part of Study seminar on homotopy theory and applications
 \n\n\nAbstract\nToday we will cover the remaining motivational aspects of 
 higher geometry as presented in Schreiber's book. In particular\, we will 
 see how to extend the ideas about local Lagrangians from the last talk to 
 higher gerbes. We will also give unreasonably high-brow proof of the fact 
 that the phase space has a canonical (pre)symplectic structure. Finally\, 
 we will give a physical motivation for the notion of Lagrangian correspond
 ence and its prequantization.\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/58
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroian (HSE\, UofT)
DTSTART:20230127T162000Z
DTEND:20230127T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/59
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/59/">The point of being pointless</a>\nby Grisha Taroian 
 (HSE\, UofT) as part of Study seminar on homotopy theory and applications\
 n\n\nAbstract\nThis talk will be a quick introductory survey of the main i
 deas of pointless topology. In particular\, we will discuss frames\, local
 es\, and localic topoi. The main sources are Chapter IX of MacLane\, Moerd
 ijk\, Johnstone's paper "The Point of Pointless Topology\," and to a lesse
 r extent\, Johnstone's book on general topology\, "Stone Spaces".\n\nRefer
 ence can be found here: https://sites.google.com/view/homotopy-basics-semi
 nar/english-page/references\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/59
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroian (HSE\, UofT)
DTSTART:20230130T162000Z
DTEND:20230130T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/60
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/60/">Elementary topoi</a>\nby Grisha Taroian (HSE\, UofT)
  as part of Study seminar on homotopy theory and applications\n\n\nAbstrac
 t\nIn this talk we will discuss elementary topoi\, a notion that we somewh
 at neglected in the previous talks. An elementary topos is a direct genera
 lization of a Grothendieck topos due to Lawvere--Tierney. The exposition w
 ill closely follow Johnstone's classical book "Topos Theory."\n\nReference
 s can be found here: https://sites.google.com/view/homotopy-basics-seminar
 /english-page/references\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/60
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroian (HSE\, UofT)
DTSTART:20230203T162000Z
DTEND:20230203T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/61
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/61/">Homological algebra in topoi</a>\nby Grisha Taroian 
 (HSE\, UofT) as part of Study seminar on homotopy theory and applications\
 n\n\nAbstract\nWe will discuss an abstract way to do homological algebra i
 n an arbitrary elementary topos. We will also see more "concrete" methods 
 applicable to Grothendieck topoi. The talk is based on Chapter 8 of Johnst
 one's "Topos Theory." A note of warning: some methods discussed there are 
 a bit old-fashioned\, and we will see how to modernize them in later talks
 .\n\n\nReferences can be found here: https://sites.google.com/view/homotop
 y-basics-seminar/english-page/references\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/61
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroian (HSE\, UofT)
DTSTART:20230206T162000Z
DTEND:20230206T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/62
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/62/">Homological algebra in topoi II</a>\nby Grisha Taroi
 an (HSE\, UofT) as part of Study seminar on homotopy theory and applicatio
 ns\n\n\nAbstract\nWe will continue to discuss homological algebra (mostly 
 in Grothendieck topoi) with the aim of more concrete calculations. In part
 icular\, we will describe abstract Cech methods and see how to interpret c
 ohomology in lower dimensions in terms of torsors. We will also define fun
 damental groups of topoi and do some elementary calculations with them. Th
 e talk is still based on Chapter 8 in Johnstone's "Topos Theory"\n\nRefere
 nces can be found here: https://sites.google.com/view/homotopy-basics-semi
 nar/english-page/references\n\nWe were only able to cover functoriality of
  topos cohomology and the definition of Cech cohomology.\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/62
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroian (HSE\, UofT)
DTSTART:20230210T162000Z
DTEND:20230210T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/63
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/63/">Homological algebra in topoi III</a>\nby Grisha Taro
 ian (HSE\, UofT) as part of Study seminar on homotopy theory and applicati
 ons\n\n\nAbstract\nThis is the continuation of the previous 2 talks. We wi
 ll (finally) define the Chech cohomology for objects in (Grothendieck) top
 oi. Also\, we will start discussing the presentation of $H^1(\\mathcal{E}\
 ;G)$ as a group of $G$-torsors on $\\mathcal{E}.$\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/63
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Amartya Shekhar Dubey (NISER)
DTSTART:20230213T162000Z
DTEND:20230213T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/64
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/64/">Elementary Higher Topoi. Why should the Topologist C
 are?</a>\nby Amartya Shekhar Dubey (NISER) as part of Study seminar on hom
 otopy theory and applications\n\n\nAbstract\nElementary $\\infty$-topoi we
 re introduced by Shulman as $\\infty$-categorical analogs of elementary to
 poi\, with many further developments due to Rasekh. In fact\, one of the p
 rimary motivations for the development of Elementary $\\infty$-topos theor
 y is to have a model of Homotopy Type Theory (which we now know to be true
  due to recent work by Cherradi). In this talk\, I will introduce elementa
 ry $\\infty$-topoi and talk about some algebraic topology we can do in an 
 elementary $\\infty$-topos.\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/64
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Everybody
DTSTART:20230217T162000Z
DTEND:20230217T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/65
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/65/">Free discussion</a>\nby Everybody as part of Study s
 eminar on homotopy theory and applications\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/65
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MIRAS)
DTSTART:20230220T162000Z
DTEND:20230220T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/66
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/66/">∞-cosmoi I</a>\nby Misha Kornev (MIRAS) as part of
  Study seminar on homotopy theory and applications\n\n\nAbstract\nIn this 
 series of talks\, we will learn about $\\infty$-cosmoi in the sense of Emi
 ly Riehl and Dominic Verity.\nThe first talk will be on quasi-categorical 
 preliminaries since constructions appearing here motivate the general theo
 ry.\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/66
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroian (HSE\, UofT)
DTSTART:20230224T162000Z
DTEND:20230224T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/67
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/67/">Homological algebra in topoi IV</a>\nby Grisha Taroi
 an (HSE\, UofT) as part of Study seminar on homotopy theory and applicatio
 ns\n\n\nAbstract\nIn this talk\, we will cover the remaining details about
  presenting low-degree cohomology classes by torsors. I also hope to say s
 omething about profinite/etale fundamental groups of topoi.\n\nReferences 
 can be found here: https://sites.google.com/view/homotopy-basics-seminar/e
 nglish-page/references\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/67
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MIRAS)
DTSTART:20230227T162000Z
DTEND:20230227T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/69
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/69/">$\\infty$-cosmoi II. Simplicial Categories and Homot
 opy Coherence</a>\nby Misha Kornev (MIRAS) as part of Study seminar on hom
 otopy theory and applications\n\n\nAbstract\nIn this talk\, we will discus
 s how one can produce quasi-categories from simplicial model categories. T
 o do this\, we will consider the fruitful notion of simplicial computads a
 nd their connection with Bergner’s model structure on simplicial categor
 ies.\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/69
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Heiko Braun (University of Bonn)
DTSTART:20230303T162000Z
DTEND:20230303T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/70
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/70/">$\\Theta_n$ — Trees and Disks</a>\nby Heiko Braun 
 (University of Bonn) as part of Study seminar on homotopy theory and appli
 cations\n\n\nAbstract\nThe category $\\Theta_n$ is a certain dense subcate
 gory of nCat. We will explain the construction of $\\Theta_n$ as iterated 
 wreath product as well as via combinatorial disks and explain their relati
 onship to higher categories.\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/70
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MIRAS)
DTSTART:20230306T162000Z
DTEND:20230306T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/71
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/71/">$\\infty$-cosmoi III</a>\nby Misha Kornev (MIRAS) as
  part of Study seminar on homotopy theory and applications\n\n\nAbstract\n
 We will talk about the 2-category of quasi-categories. After that\, we wil
 l give the definition of $\\infty$-cosmoi and consider some general proper
 ties.\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/71
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Amartya Shekhar Dubey (NISER)
DTSTART:20230310T165000Z
DTEND:20230310T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/72
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/72/">Extended Reflection Positivity for Invertible TQFTs<
 /a>\nby Amartya Shekhar Dubey (NISER) as part of Study seminar on homotopy
  theory and applications\n\n\nAbstract\nOut of unitarity and locality in Q
 FTs\, unitarity is the one that hasn't been treated often in purely mathem
 atical contexts. In this talk\, I'll talk about the extended notion of ref
 lection positivity\, the Wick-rotated manifestation of unitarity in field 
 theory\, that goes with extended locality by talking about the special cas
 e of invertible topological field theories. We'll see how stable homotopy 
 theoretical tools can be used to study such theories. This is work by Free
 d-Hopkins.\n\nOne other source used during the talk is https://arxiv.org/a
 bs/math/0605249\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/72
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Amartya Shekhar Dubey (NISER)
DTSTART:20230317T165000Z
DTEND:20230317T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/73
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/73/">Extended Reflection Positivity for Invertible TQFTs 
 II</a>\nby Amartya Shekhar Dubey (NISER) as part of Study seminar on homot
 opy theory and applications\n\n\nAbstract\nOut of unitarity and locality i
 n QFTs\, unitarity is the one that hasn't been treated often in purely mat
 hematical contexts. In this talk\, I'll talk about the extended notion of 
 reflection positivity\, the Wick-rotated manifestation of unitarity in fie
 ld theory\, that goes with extended locality by talking about the special 
 case of invertible topological field theories. We'll see how stable homoto
 py theoretical tools can be used to study such theories. This is work by F
 reed-Hopkins.\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/73
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MIRAS)
DTSTART:20230320T162000Z
DTEND:20230320T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/74
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/74/">$\\infty$-cosmoi IV. Adjunctions\, limits and colimi
 ts in $\\infty$-cosmoi</a>\nby Misha Kornev (MIRAS) as part of Study semin
 ar on homotopy theory and applications\n\n\nAbstract\nFirst\, I will recal
 l some fruitful definitions and constructions from the previous talk. Afte
 r that\, we will discuss adjunction\, limits\, colimits in $\\infty$-cosmo
 i\, and their properties.\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/74
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Amartya Shekhar Dubey (NISER)
DTSTART:20230331T165000Z
DTEND:20230331T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/75
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/75/">Extended Reflection Positivity for Invertible TQFTs 
 III</a>\nby Amartya Shekhar Dubey (NISER) as part of Study seminar on homo
 topy theory and applications\n\n\nAbstract\nOut of unitarity and locality 
 in QFTs\, unitarity is the one that hasn't been treated often in purely ma
 thematical contexts. In this talk\, I'll talk about the extended notion of
  reflection positivity\, the Wick-rotated manifestation of unitarity in fi
 eld theory\, that goes with extended locality by talking about the special
  case of invertible topological field theories. We'll see how stable homot
 opy theoretical tools can be used to study such theories. This is work by 
 Freed-Hopkins.\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/75
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MIRAS)
DTSTART:20230327T155000Z
DTEND:20230327T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/76
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/76/">Comma $\\infty$-categories</a>\nby Misha Kornev (MIR
 AS) as part of Study seminar on homotopy theory and applications\n\n\nAbst
 ract\nWe will talk about comma ∞-categories\, their properties and appli
 cations.\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/76
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MIRAS)
DTSTART:20230403T162000Z
DTEND:20230403T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/77
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/77/">$\\infty$-cosmoi IV. Representable Comma ∞-Categor
 ies & Model Independence</a>\nby Misha Kornev (MIRAS) as part of Study sem
 inar on homotopy theory and applications\n\n\nAbstract\nWe will talk about
  the characterization of an absolute right lifting property in comma terms
 . As an application\, we will derive the model independence of limits\, co
 limits and adjunctions in ∞-cosmoi\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/77
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Konovalov (HSE)
DTSTART:20230414T162000Z
DTEND:20230414T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/78
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/78/">Cotangent complex: definition\, properties\, and bas
 ic applications</a>\nby Grisha Konovalov (HSE) as part of Study seminar on
  homotopy theory and applications\n\n\nAbstract\nRecall that in classical 
 algebraic geometry Kahler differentials are used to linearize some suffici
 ently smooth deformation problems. However\, when non-smoothness or stakin
 ess is present\, one has to use a derived version of the Kahler differenti
 als -- the cotangent complex. In this talk\, we will construct the cotange
 nt complex of a commutative dg algebra\, prove its basic properties\, and 
 study some simple deformation problems where it comes up naturally.\n\nSom
 e useful references:\n\n1) In case you want to recall what the Kahler diff
 erentials are\, you may use any book on commutative algebra or scheme theo
 ry. For example\, you would find the material in Section 21.2 of $\\href{h
 ttp://math.stanford.edu/~vakil/216blog/FOAGapr0123public.pdf}{\\text{R. Va
 kil's book}}.$\n\n2) Useful references for the cotangent complex: Section 
 1.2.1 of $\\href{https://arxiv.org/abs/math/0404373}{\\text{arXiv:math/040
 4373}}$\; Chapter 1 of the 2nd volume of the book on derived algebraic geo
 metry by D. Gaitsgory and N. Rozenblyum\; Section 2 of $\\href{https://arx
 iv.org/abs/1305.6302}{\\text{arXiv:1305.6302}}$.\n\n3) References for the 
 derived deformation theory: $\\href{https://www.math.ias.edu/~lurie/papers
 /DAG-X.pdf}{\\text{DAG-X}}$ by J. Lurie and Chapters 5-7 of the 2nd volume
  of the book by D. Gaitsgory and N. Rozenblyum.\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/78
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Konovalov (HSE)
DTSTART:20230421T162000Z
DTEND:20230421T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/79
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/79/">Formal moduli problems and Lie algebras</a>\nby Gris
 ha Konovalov (HSE) as part of Study seminar on homotopy theory and applica
 tions\n\n\nAbstract\nI will sketch a proof of the theorem saying that a de
 formation problem over a point is controlled by a dg Lie algebra. Original
  references are: $\\href{https://arxiv.org/abs/0705.0344}{\\text{arXiv:070
 5.0344}}$ by J. Pridham and $\\href{https://www.math.ias.edu/~lurie/papers
 /DAG-X.pdf}{\\text{DAG-X}}$ by J. Lurie. I will be mostly following the la
 tter.\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/79
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MIRAS)
DTSTART:20230424T162000Z
DTEND:20230424T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/80
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/80/">Elements of unstable motivic homotopy theory</a>\nby
  Misha Kornev (MIRAS) as part of Study seminar on homotopy theory and appl
 ications\n\n\nAbstract\nWe will talk about the $\\mathbb{A}^1$-homotopy th
 eory of quasi-compact and quasi-separated schemes and discuss homotopy inv
 ariant presheaves with transfers\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/80
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MI RAS)
DTSTART:20230508T162000Z
DTEND:20230508T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/82
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/82/">∞-Category of Motivic Coarse Spaces</a>\nby Misha 
 Kornev (MI RAS) as part of Study seminar on homotopy theory and applicatio
 ns\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/82
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MI RAS)
DTSTART:20230512T162000Z
DTEND:20230512T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/83
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/83/">∞-Category of Motivic Coarse Spaces II</a>\nby Mis
 ha Kornev (MI RAS) as part of Study seminar on homotopy theory and applica
 tions\n\n\nAbstract\nLast time\, we introduced the category BornCoarse of 
 bornological coarse spaces. In this talk\, we will discuss products and co
 products\, coarse equivalences\, flasque spaces and define the category of
  motivic coarse spaces Spc(X) ⊂ PSh(BornCoarse).\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/83
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MI RAS)
DTSTART:20230515T162000Z
DTEND:20230515T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/84
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/84/">∞-Category of Motivic Coarse Spaces. Part III</a>\
 nby Misha Kornev (MI RAS) as part of Study seminar on homotopy theory and 
 applications\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/84
 /
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MI RAS)
DTSTART:20230522T162000Z
DTEND:20230522T180000Z
DTSTAMP:20260404T110827Z
UID:HomotopyTheoryAndApps/85
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Homot
 opyTheoryAndApps/85/">Examples of coarse homology theories</a>\nby Misha K
 ornev (MI RAS) as part of Study seminar on homotopy theory and application
 s\n\n\nAbstract\nWe will consider some examples of coarse homology theorie
 s\, including coarse ordinary homology\, equivariant ordinary homology and
  equivariant coarse topological K-theory. We will also talk about connecti
 ons with index theory.\n\nReferences:\n\n1. U. Bunke\, "Coarse geometry\,"
  arXiv (https://arxiv.org/abs/2305.09203)\n\n2.  Ulrich Bunke\, Alexander 
 Engel\, "Homotopy Theory with Bornological Coarse Spaces"\n
LOCATION:https://stable.researchseminars.org/talk/HomotopyTheoryAndApps/85
 /
END:VEVENT
END:VCALENDAR