Isaac Newton Institute for Mathematical Sciences

A Newton Institute Workshop

Axiomatic, enriched and motivic homotopy theory

9 Sep - 20 Sep 2002

Timetable:

List of participants

Monday 9 September

08.30-10.00 Registration

10.00-11.00 WG Dwyer (Notre Dame)

Localizations & homotopy theory of diagrams (1)

11.00-11.30 Coffee

11.30-12.30 PG Goerss (Northwestern)

Obstruction theory for structured ring spectra (1)

12.30-13.30 Lunch at Wolfson Court

14.00-15.00 JP May (Chicago)

Operadic, $A_\infty$ and n-categories (1)

15.00-15.30 Tea

16.00-17.00 J Smith (Purdue)

Abstract homotopy theory (1)

17.15-18.15 Wine & Beer Reception

18.45-19.30 Dinner at Wolfson Court (Residents only)

Tuesday 10 September

10.00-11.00 WG Dwyer (Notre Dame)

Localizations & homotopy theory of diagrams (2)

11.00-11.30 Coffee

11.30-12.30 PG Goerss (Northwestern)

Obstruction theory for structured ring spectra (2)

12.30-13.30 Lunch at Wolfson Court

14.00-15.00 JP May (Chicago)

Operads and motivic homotopy theory (2)

15.00-15.30 Tea

16.00-17.00 J Smith (Purdue)

Abstract homotopy theory (2)

18.45-19.30 Dinner at Wolfson Court (Residents only)

Wednesday 11 September

10.00-11.00 S Schwede (Mu"nster)

Triangulated categories and models (1)

11.00-11.30 Coffee

11.30-12.30 Problem session

12.30-13.30 Lunch at Wolfson Court

14.00-15.00 B Richter (Bonn)

Quillen adjunctions close to differential graded commutative algebras

15.00-15.30 Tea

16.00-17.30 Poster session

18.45-19.30 Dinner at Wolfson Court (Residents only)

Thursday 12 September

10.00-11.00 I Madsen (Aarhus)

The stable moduli space of Riemann surfaces (1)

11.00-11.30 Coffee

11.30-12.30 JE McClure (Purdue)

Cosimplical objects and little $n$-cubes (1)

12.30-13.30 Lunch at Wolfson Court

14.00-15.00 S Schwede (Mu"nster)

Triangualted categories and models (2)

15.00-15.30 Tea

16.00-17.00 VA Smirnov (Moscow)

Simplicial & operad methods in algebraic topology (1)

18.45-19.30 Dinner at Wolfson Court (Residents only)

Friday 13 September

10.00-11.00 I Madsen (Aarhus)

The stable moduli space of Riemann surfaces (2)

11.00-11.30 Coffee

11.30-12.30 JE McClure (Purdue)

Cosimplical objects and little $n$-cubes

12.30-13.30 Lunch at Wolfson Court

14.00-15.00 VA Smirnov (Moscow)

Simplicial & operad methods in algebraic topology (2)

15.00-15.30 Tea

16.00-17.00 NP Strickland (Sheffield)

Axiomatic stable homotopy theory

18.45-19.30 Dinner at Wolfson Court (Residents only)

Monday 16 September

10.00-11.00 R Jardine (Western Ontario)

Stable homotopy theories for simplicial presheaves (1)

11.00-11.30 Coffee

11.30-12.30 F Morel (Jussieu)

${\Bbb A}^1$ homotopy theory (1)

12.30-13.30 Lunch at Wolfson Court

14.00-15.00 M Levine (Northeastern)

Introduction to algebraic cobordism (1)

15.00-15.30 Tea

16.00-17.00 L Hesselholt (MIT)

trace methods in algebraic K theory - I

18.45-19.30 Dinner at Wolfson Court (Residents only)

Tuesday 17 September

10.00-11.00 R Jardine (Western Ontairo)

Stable homotopy theories for simplicial presheaves (2)

11.00-11.30 Coffee

11.30-12.30 F Morel (Jussieu)

${\Bbb A}^1$ homotopy theory (2)

12.30-13.30 Lunch at Wolfson Court

14.00-15.00 M Levine (Northeastern)

Mixed Tate motives (2)

15.00-15.30 Tea

16.00-17.00 L Hesselholt (MIT)

Trace methods in algebraic K-theory - II

18.45-19.30 Dinner at Wolfson Court (Residents only)

Wednesday 18 September

10.00-11.00 S Bloch (Chicago)

Questions related to motives

11.00-11.30 Coffee

11.30-12.30 J Rognes (Oslo)

Glaors descent for the K-theory of commutatice {$}-algebras

12.30-13.30 Lunch at Wolfson Court

14.00-15.00 G Carlsson (Stanford)

Structured stable homotopy theory & descent in algebraic K theory (1)

15.00-15.30 Tea

16.00-17.00 J Hornbostel (Regensburg)

${\Bbb A}^1$ -representability of hermitian K-theory and Witt groups
& Morel's conjectures on ${\Bbb A}^1$ -homotopy groups of spheres

18.45-19.30 Dinner at Wolfson Court (Residents only)

Thursday 19 September

10.00-11.00 VP Snaith (Southampton)

Equivariant motives phenomena (1)

11.00-11.30 Coffee

11.30-12.30 B Totaro (Cambridge)

An examplein the theory of Witt groups of algebraic varieties using
Steenrod operations on Chow groups

12.30-13.30 Lunch at Wolfson Court

14.00-15.00 A Vishik (Steklov)

Quadratic Grassmannians & Steenrod operations (1)

15.00-15.30 Tea

16.00-17.00 G Carlsson (Stanford)

Structured stable homotopy theory & descent in algebraic K theory (2)

20.00- . Conference Dinner at Magdalene College

Friday 20 September

10.00-11.00 VP Snaith (Southampton)

Equivariant motivic phenomena (2)

11.00-11.30 Coffee

11.30-12.30 B Toen (Nice)

Homotopical algebraic geometry

12.30-13.30 Lunch at Wolfson Court

14.00-15.00 A Vishik (Steklov)

Quadratic Grassmannians & Steenrod operations (2)

15.00-15.30 Tea

16.00-17.00 C Weibel (Rutgers)

Homological algebra in DM

18.45-19.30 Dinner at Wolfson Court (Residents only)


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Updated at 11:10 on 6 December 2002