# Timetable (NSTW01)

## Axiomatic, enriched and motivic homotopy theory

Monday 9th September 2002 to Friday 20th September 2002

 08:30 to 10:00 RegistrationSession: Axiomatic, enriched and motivic homotopy theory 10:00 to 11:00 WG Dwyer ([Notre Dame])Localizations \& homotopy theory of diagrams (1)Session: Axiomatic, enriched and motivic homotopy theory INI 1 11:00 to 11:30 CoffeeSession: Axiomatic, enriched and motivic homotopy theory 11:30 to 12:30 PG Goerss ([Northwestern])Obstruction theory for structured ring spectra (1)Session: Axiomatic, enriched and motivic homotopy theory INI 1 12:30 to 13:30 Lunch at Wolfson CourtSession: Axiomatic, enriched and motivic homotopy theory 14:00 to 15:00 JP May ([Chicago])Operadic, $A_\infty$ and n-categories (1)Session: Axiomatic, enriched and motivic homotopy theory INI 1 15:00 to 15:30 TeaSession: Axiomatic, enriched and motivic homotopy theory 16:00 to 17:00 J Smith ([Purdue])Abstract homotopy theory (1)Session: Axiomatic, enriched and motivic homotopy theory INI 1 17:15 to 18:15 Wine \& Beer ReceptionSession: Axiomatic, enriched and motivic homotopy theory 18:45 to 19:30 Dinner at Wolfson Court (Residents only)Session: Axiomatic, enriched and motivic homotopy theory
 10:00 to 11:00 WG Dwyer ([Notre Dame])Localizations \& homotopy theory of diagrams (2) INI 1 11:00 to 11:30 CoffeeSession: Axiomatic, enriched and motivic homotopy theory 11:30 to 12:30 PG Goerss ([Northwestern])Obstruction theory for structured ring spectra (2)Session: Axiomatic, enriched and motivic homotopy theory INI 1 12:30 to 13:30 Lunch at Wolfson CourtSession: Axiomatic, enriched and motivic homotopy theory 14:00 to 15:00 JP May ([Chicago])Operads and motivic homotopy theory (2)Session: Axiomatic, enriched and motivic homotopy theory INI 1 15:00 to 15:30 TeaSession: Axiomatic, enriched and motivic homotopy theory 16:00 to 17:00 J Smith ([Purdue])Abstract homotopy theory (2)Session: Axiomatic, enriched and motivic homotopy theory INI 1 18:45 to 19:30 Dinner at Wolfson Court (Residents only)Session: Axiomatic, enriched and motivic homotopy theory
 10:00 to 11:00 S Schwede ([Münster])Triangulated categories and models (1)Session: Axiomatic, enriched and motivic homotopy theory INI 1 11:00 to 11:30 CoffeeSession: Axiomatic, enriched and motivic homotopy theory 11:30 to 12:30 Problem sessionSession: Axiomatic, enriched and motivic homotopy theory INI 1 12:30 to 13:30 Lunch at Wolfson CourtSession: Axiomatic, enriched and motivic homotopy theory 14:00 to 15:00 B Richter ([Bonn])Quillen adjunctions close to differential graded commutative algebrasSession: Axiomatic, enriched and motivic homotopy theory INI 1 15:00 to 15:30 TeaSession: Axiomatic, enriched and motivic homotopy theory 16:00 to 17:30 Poster sessionSession: Axiomatic, enriched and motivic homotopy theory 18:45 to 19:30 Dinner at Wolfson Court (Residents only)Session: Axiomatic, enriched and motivic homotopy theory
 10:00 to 11:00 I Madsen ([Aarhus])The stable moduli space of Riemann surfaces (1)Session: Axiomatic, enriched and motivic homotopy theory INI 1 11:00 to 11:30 CoffeeSession: Axiomatic, enriched and motivic homotopy theory 11:30 to 12:30 JE McClure ([Purdue])Cosimplical objects and little $n$-cubes (1)Session: Axiomatic, enriched and motivic homotopy theory INI 1 12:30 to 13:30 Lunch at Wolfson CourtSession: Axiomatic, enriched and motivic homotopy theory 14:00 to 15:00 S Schwede ([Münster])Triangualted categories and models (2)Session: Axiomatic, enriched and motivic homotopy theory INI 1 15:00 to 15:30 TeaSession: Axiomatic, enriched and motivic homotopy theory 16:00 to 17:00 VA Smirnov ([Moscow])Simplicial \& operad methods in algebraic topology (1)Session: Axiomatic, enriched and motivic homotopy theory INI 1 18:45 to 19:30 Dinner at Wolfson Court (Residents only)Session: Axiomatic, enriched and motivic homotopy theory
 10:00 to 11:00 I Madsen ([Aarhus])The stable moduli space of Riemann surfaces (2)Session: Axiomatic, enriched and motivic homotopy theory INI 1 11:00 to 11:30 CoffeeSession: Axiomatic, enriched and motivic homotopy theory 11:30 to 12:30 JE McClure ([Purdue])Cosimplical objects and little $n$-cubesSession: Axiomatic, enriched and motivic homotopy theory INI 1 12:30 to 13:30 Lunch at Wolfson CourtSession: Axiomatic, enriched and motivic homotopy theory 14:00 to 15:00 VA Smirnov ([Moscow])Simplicial \& operad methods in algebraic topology (2)Session: Axiomatic, enriched and motivic homotopy theory INI 1 15:00 to 15:30 TeaSession: Axiomatic, enriched and motivic homotopy theory 16:00 to 17:00 NP Strickland ([Sheffield])Axiomatic stable homotopy theorySession: Axiomatic, enriched and motivic homotopy theory INI 1 18:45 to 19:30 Dinner at Wolfson Court (Residents only)Session: Axiomatic, enriched and motivic homotopy theory
 10:00 to 11:00 R Jardine ([Western Ontario])Stable homotopy theories for simplicial presheaves (1)Session: Axiomatic, enriched and motivic homotopy theory INI 1 11:00 to 11:30 CoffeeSession: Axiomatic, enriched and motivic homotopy theory 11:30 to 12:30 F Morel ([Jussieu])${\Bbb A}^1$ homotopy theory (1)Session: Axiomatic, enriched and motivic homotopy theory INI 1 12:30 to 13:30 Lunch at Wolfson CourtSession: Axiomatic, enriched and motivic homotopy theory 14:00 to 15:00 M Levine ([Northeastern])Introduction to algebraic cobordism (1)Session: Axiomatic, enriched and motivic homotopy theory INI 1 15:00 to 15:30 TeaSession: Axiomatic, enriched and motivic homotopy theory 16:00 to 17:00 L Hesselholt ([MIT])trace methods in algebraic K theory - ISession: Axiomatic, enriched and motivic homotopy theory INI 1 18:45 to 19:30 Dinner at Wolfson Court (Residents only)Session: Axiomatic, enriched and motivic homotopy theory
 10:00 to 11:00 R Jardine ([Western Ontairo])Stable homotopy theories for simplicial presheaves (2)Session: Axiomatic, enriched and motivic homotopy theory INI 1 11:00 to 11:30 CoffeeSession: Axiomatic, enriched and motivic homotopy theory 11:30 to 12:30 F Morel ([Jussieu])${\Bbb A}^1$ homotopy theory (2)Session: Axiomatic, enriched and motivic homotopy theory INI 1 12:30 to 13:30 Lunch at Wolfson CourtSession: Axiomatic, enriched and motivic homotopy theory 14:00 to 15:00 M Levine ([Northeastern])Mixed Tate motives (2)Session: Axiomatic, enriched and motivic homotopy theory INI 1 15:00 to 15:30 TeaSession: Axiomatic, enriched and motivic homotopy theory 16:00 to 17:00 L Hesselholt ([MIT])Trace methods in algebraic K-theory - IISession: Axiomatic, enriched and motivic homotopy theory INI 1 18:45 to 19:30 Dinner at Wolfson Court (Residents only)Session: Axiomatic, enriched and motivic homotopy theory
 10:00 to 11:00 S Bloch ([Chicago])Questions related to motivesSession: Axiomatic, enriched and motivic homotopy theory INI 1 11:00 to 11:30 CoffeeSession: Axiomatic, enriched and motivic homotopy theory 11:30 to 12:30 J Rognes ([Oslo])Glaors descent for the K-theory of commutatice {\$}-algebrasSession: Axiomatic, enriched and motivic homotopy theory INI 1 12:30 to 13:30 Lunch at Wolfson CourtSession: Axiomatic, enriched and motivic homotopy theory 14:00 to 15:00 G Carlsson ([Stanford])Structured stable homotopy theory \& descent in algebraic K theory (1)Session: Axiomatic, enriched and motivic homotopy theory INI 1 15:00 to 15:30 TeaSession: Axiomatic, enriched and motivic homotopy theory 16:00 to 17:00 J Hornbostel ([Regensburg])${\Bbb A}^1$-representability of hermitian K-theory and Witt groups \& Morel's conjectures on${\Bbb A}^1\$ -homotopy groups of spheresSession: Axiomatic, enriched and motivic homotopy theory INI 1 18:45 to 19:30 Dinner at Wolfson Court (Residents only)Session: Axiomatic, enriched and motivic homotopy theory
 10:00 to 11:00 VP Snaith ([Southampton])Equivariant motives phenomena (1)Session: Axiomatic, enriched and motivic homotopy theory INI 1 11:00 to 11:30 CoffeeSession: Axiomatic, enriched and motivic homotopy theory 11:30 to 12:30 B Totaro ([Cambridge])An examplein the theory of Witt groups of algebraic varieties using Steenrod operations on Chow groupsSession: Axiomatic, enriched and motivic homotopy theory INI 1 12:30 to 13:30 Lunch at Wolfson CourtSession: Axiomatic, enriched and motivic homotopy theory 14:00 to 15:00 A Vishik ([Steklov])Quadratic Grassmannians \& Steenrod operations (1)Session: Axiomatic, enriched and motivic homotopy theory INI 1 15:00 to 15:30 TeaSession: Axiomatic, enriched and motivic homotopy theory 16:00 to 17:00 G Carlsson ([Stanford])Structured stable homotopy theory \& descent in algebraic K theory (2)Session: Axiomatic, enriched and motivic homotopy theory INI 1 20:00 to 00:00 Conference Dinner at Magdalene CollegeSession: Axiomatic, enriched and motivic homotopy theory
 10:00 to 11:00 VP Snaith ([Southampton])Equivariant motivic phenomena (2)Session: Axiomatic, enriched and motivic homotopy theory INI 1 11:00 to 11:30 CoffeeSession: Axiomatic, enriched and motivic homotopy theory 11:30 to 12:30 B Toen ([Nice])Homotopical algebraic geometrySession: Axiomatic, enriched and motivic homotopy theory INI 1 12:30 to 13:30 Lunch at Wolfson CourtSession: Axiomatic, enriched and motivic homotopy theory 14:00 to 15:00 A Vishik ([Steklov])Quadratic Grassmannians \& Steenrod operations (2)Session: Axiomatic, enriched and motivic homotopy theory INI 1 15:00 to 15:30 TeaSession: Axiomatic, enriched and motivic homotopy theory 16:00 to 17:00 C Weibel ([Rutgers])Homological algebra in DMSession: Axiomatic, enriched and motivic homotopy theory INI 1 18:45 to 19:30 Dinner at Wolfson Court (Residents only)Session: Axiomatic, enriched and motivic homotopy theory