November 14, 2019
11:30AM - 12:30PM
MW 154
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2019-11-14 12:30:00
2019-11-14 13:30:00
Homotopy Theory Seminar -- Emily Rudman
Speaker: Emily Rudman (Indiana)
Title: The cyclic homology of k[x1,x2,...,xd]/(x1,x2,...,xd)^2
Seminar URL: https://www.asc.ohio-state.edu/fontes.17/homotopy_seminar/
Abstract: The Hochschild homology of the ring k[x1,x2,...,xd]/(x1,x2,...,xd)^2 has been known and calculated several ways. Hochschild homology of rings is of interest as the target of the Dennis trace from algebraic K-theory, which involves a circle action on Hochschild homology. In an appropriate sense, cyclic homology is the homology of the quotient by this circle action. The calculation of the cyclic homology of k[x1,x2,...,xd]/(x1,x2,...,xd)^2 is relatively straightforward for k=Q the rationals, but we see interesting torsion phenomena over k=Z the integers.
MW 154
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
Add to Calendar
2019-11-14 11:30:00
2019-11-14 12:30:00
Homotopy Theory Seminar -- Emily Rudman
Speaker: Emily Rudman (Indiana)
Title: The cyclic homology of k[x1,x2,...,xd]/(x1,x2,...,xd)^2
Seminar URL: https://www.asc.ohio-state.edu/fontes.17/homotopy_seminar/
Abstract: The Hochschild homology of the ring k[x1,x2,...,xd]/(x1,x2,...,xd)^2 has been known and calculated several ways. Hochschild homology of rings is of interest as the target of the Dennis trace from algebraic K-theory, which involves a circle action on Hochschild homology. In an appropriate sense, cyclic homology is the homology of the quotient by this circle action. The calculation of the cyclic homology of k[x1,x2,...,xd]/(x1,x2,...,xd)^2 is relatively straightforward for k=Q the rationals, but we see interesting torsion phenomena over k=Z the integers.
MW 154
Department of Mathematics
math@osu.edu
America/New_York
public
Speaker: Emily Rudman (Indiana)
Title: The cyclic homology of k[x1,x2,...,xd]/(x1,x2,...,xd)^2
Abstract: The Hochschild homology of the ring k[x1,x2,...,xd]/(x1,x2,...,xd)^2 has been known and calculated several ways. Hochschild homology of rings is of interest as the target of the Dennis trace from algebraic K-theory, which involves a circle action on Hochschild homology. In an appropriate sense, cyclic homology is the homology of the quotient by this circle action. The calculation of the cyclic homology of k[x1,x2,...,xd]/(x1,x2,...,xd)^2 is relatively straightforward for k=Q the rationals, but we see interesting torsion phenomena over k=Z the integers.
