Axiomatic, enriched and motivic homotopy theory

Workshop theme

NATO ASI directors: JPC Greenlees (Sheffield), IB Zhukov (St Petersburg)

A NATO Advanced Study Institute

Axiomatic, enriched and motivic homotopy theory, and its recent applications in topology, geometry, algebraic K theory and arithmetic. This will include localization, the homotopy theory of diagrams, obstruction theory for structured ring spectra, homotopy theory of algebraic theories, topological cyclic cohomology, abstract and simplicial homotopy theory, operads, A1 homotopy theory, mixed motives, algebraic cobordism, algebraic K theory and the algebra of structured spectra.

Timetable

Monday 9th September 2002
08:30 to 10:00	Registration	No Room Required
10:00 to 11:00	Bill Dwyer University of Notre Dame Localizations \& homotopy theory of diagrams (1)	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	Paul Goerss Northwestern University Obstruction theory for structured ring spectra (1)	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 15:00	Operadic, $A_\infty$ and n-categories (1)	Room 1
15:00 to 15:30	Tea	No Room Required
16:00 to 17:00	Jeff Smith Indiana University-Purdue University Indianapolis Abstract homotopy theory (1)	Room 1
17:15 to 18:15	Wine \& Beer Reception	No Room Required
18:45 to 19:30	Dinner at Wolfson Court (Residents only)	No Room Required

Tuesday 10th September 2002
10:00 to 11:00	Bill Dwyer University of Notre Dame Localizations \& homotopy theory of diagrams (2)	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	Paul Goerss Northwestern University Obstruction theory for structured ring spectra (2)	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 15:00	Operads and motivic homotopy theory (2)	Room 1
15:00 to 15:30	Tea	No Room Required
16:00 to 17:00	Jeff Smith Indiana University-Purdue University Indianapolis Abstract homotopy theory (2)	Room 1
18:45 to 19:30	Dinner at Wolfson Court (Residents only)	No Room Required

Wednesday 11th September 2002
10:00 to 11:00	Triangulated categories and models (1)	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	Problem session	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 15:00	Quillen adjunctions close to differential graded commutative algebras	Room 1
15:00 to 15:30	Tea	No Room Required
16:00 to 17:30	Poster session	No Room Required
18:45 to 19:30	Dinner at Wolfson Court (Residents only)	No Room Required

Thursday 12th September 2002
10:00 to 11:00	Ib Madsen The stable moduli space of Riemann surfaces (1)	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	James (Jim) McClure Indiana University-Purdue University Indianapolis Cosimplical objects and little $n$-cubes (1)	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 15:00	Triangualted categories and models (2)	Room 1
15:00 to 15:30	Tea	No Room Required
16:00 to 17:00	Vladimir Smirnov Institute of Mechanics of Moscow State University Simplicial \& operad methods in algebraic topology (1)	Room 1
18:45 to 19:30	Dinner at Wolfson Court (Residents only)	No Room Required

Friday 13th September 2002
10:00 to 11:00	Ib Madsen The stable moduli space of Riemann surfaces (2)	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	James (Jim) McClure Indiana University-Purdue University Indianapolis Cosimplical objects and little $n$-cubes	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 15:00	Vladimir Smirnov Institute of Mechanics of Moscow State University Simplicial \& operad methods in algebraic topology (2)	Room 1
15:00 to 15:30	Tea	No Room Required
16:00 to 17:00	Neil Strickland University of Sheffield Axiomatic stable homotopy theory	Room 1
18:45 to 19:30	Dinner at Wolfson Court (Residents only)	No Room Required

Monday 16th September 2002
10:00 to 11:00	Rick Jardine University of Western Ontario Stable homotopy theories for simplicial presheaves (1)	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	Fabien Morel Université Paris 7 - Denis-Diderot ${\Bbb A}^1$ homotopy theory (1)	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 15:00	Marc Levine Northeastern University Introduction to algebraic cobordism (1)	Room 1
15:00 to 15:30	Tea	No Room Required
16:00 to 17:00	Lars Hesselholt Acclarogen Limited trace methods in algebraic K theory - I	Room 1
18:45 to 19:30	Dinner at Wolfson Court (Residents only)	No Room Required

Tuesday 17th September 2002
10:00 to 11:00	Rick Jardine University of Western Ontario Stable homotopy theories for simplicial presheaves (2)	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	Fabien Morel Université Paris 7 - Denis-Diderot ${\Bbb A}^1$ homotopy theory (2)	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 15:00	Marc Levine Northeastern University Mixed Tate motives (2)	Room 1
15:00 to 15:30	Tea	No Room Required
16:00 to 17:00	Lars Hesselholt Acclarogen Limited Trace methods in algebraic K-theory - II	Room 1
18:45 to 19:30	Dinner at Wolfson Court (Residents only)	No Room Required

Wednesday 18th September 2002
10:00 to 11:00	Spencer Bloch University of Chicago Questions related to motives	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	John Rognes University of Oslo Glaors descent for the K-theory of commutatice {\$}-algebras	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 15:00	Gunnar Carlsson Structured stable homotopy theory \& descent in algebraic K theory (1)	Room 1
15:00 to 15:30	Tea	No Room Required
16:00 to 17:00	Jens Hornbostel ${\Bbb A}^1$ -representability of hermitian K-theory and Witt groups \& Morel's conjectures on ${\Bbb A}^1$ -homotopy groups of spheres	Room 1
18:45 to 19:30	Dinner at Wolfson Court (Residents only)	No Room Required

Thursday 19th September 2002
10:00 to 11:00	Equivariant motives phenomena (1)	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	An examplein the theory of Witt groups of algebraic varieties using Steenrod operations on Chow groups	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 15:00	Alexander Vishik Quadratic Grassmannians \& Steenrod operations (1)	Room 1
15:00 to 15:30	Tea	No Room Required
16:00 to 17:00	Gunnar Carlsson Structured stable homotopy theory \& descent in algebraic K theory (2)	Room 1
20:00 to 00:00	Conference Dinner at Magdalene College	No Room Required

Friday 20th September 2002
10:00 to 11:00	Equivariant motivic phenomena (2)	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	Bertrand Toen Homotopical algebraic geometry	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 15:00	Alexander Vishik Quadratic Grassmannians \& Steenrod operations (2)	Room 1
15:00 to 15:30	Tea	No Room Required
16:00 to 17:00	Charles Weibel Homological algebra in DM	Room 1
18:45 to 19:30	Dinner at Wolfson Court (Residents only)	No Room Required

Speakers

Spencer Bloch University of Chicago
Gunnar Carlsson
Bill Dwyer University of Notre Dame
Paul Goerss Northwestern University
Lars Hesselholt Acclarogen Limited
Jens Hornbostel
Rick Jardine University of Western Ontario
Marc Levine Northeastern University
Ib Madsen
James (Jim) McClure Indiana University-Purdue University Indianapolis
Fabien Morel Université Paris 7 - Denis-Diderot
John Rognes University of Oslo
Vladimir Smirnov Institute of Mechanics of Moscow State University
Jeff Smith Indiana University-Purdue University Indianapolis
Neil Strickland University of Sheffield
Bertrand Toen
Alexander Vishik
Charles Weibel

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Axiomatic, enriched and motivic homotopy theory

Workshop theme

A NATO Advanced Study Institute

Timetable

Speakers

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