Rational Homotopy Theory Seminar

Wednesdays 1:10-2 pm (Fall and Winter); 3:10-4 pm (Spring)

Surge 268 (Fall and Spring)

Surge 284 (Winter)

Spring 2011:

March 30: Fred Wilhelm, Recognizing rational dichotomy

April 6: Barbara Herzog, Exterior algebras; and Fred Wilhelm, Recognizing rational dichotomy II

April 13: Fred Wilhelm, Recognizing rational dichotomy III

April 20: Fred Wilhelm, Recognizing rational dichotomy IV

April 27: Fred Wilhelm, Recognizing rational dichotomy V

May 4: Discussion

May 11: Philip Hackney, Minimal models and rational homotopy groups I

Abstract: Suppose that &Λ;V is a Sullivan minimal model for a simply connected space X. There is a bilinear pairing between the graded vector space V and the homotopy groups of X. If the rational homology of X has finite type, then this bilinear pairing is non-degenerate. Combined with our earlier examples, this gives a calculation of the ranks of the rational homotopy groups of a variety of spaces.

May 18: Discussion

May 25: Philip Hackney, Minimal models and rational homotopy groups II

June 1: Philip Hackney, Minimal models and rational homotopy groups III

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Winter 2011

January 5: Julie Bergner, Introduction to model categories

January 12: Chris Rogers, Review of DGAs and the bar construction

January 19: Chris Rogers, The bar construction and A-infinity morphisms

January 26: Julie Bergner, Model categories in rational homotopy theory

February 2: Philip Hackney, Minimal models

February 9: Philip Hackney, Minimal models, part 2

February 16: Julie Bergner, Minimal models as cofibrant objects

February 23: Julie Bergner, Function spaces and homotopies of DGAs

March 2: Julie Bergner, Cofibrant DGAs

March 9: Philip Hackney, Known

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Fall 2010

September 29: Julie Bergner and Fred Wilhelm, Introduction and motivation

October 6: Barbara Herzog, Rational spaces

October 13: Barbara Herzog, Rational spaces, continued

October 20: Discussion

October 27: Barbara Herzog, Rational spaces, continued; and Philip Hackney, Commutative cochain algebras

November 3: Philip Hackney, Commutative cochain algebras, continued

November 10: Philip Hackney, Cochain algebras for real this time (maybe)
November 17: Julie Bergner, Construction of A(K)

November 24: Julie Bergner, Commutative cochain models for rational homotopy theory

December 1: Discussion

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http://www.math.ucr.edu/~jbergner/qhomotopysem.htm Last modified: 20 May 2011