Holmstrom Duality

Is there a direct link between Poincare duality and Langlands duality, since both are reflected in functional equations?

http://mathoverflow.net/questions/73711/the-concept-of-duality

Functional analysis on the eve of the 21st century Contains article by Kapranov: Analogies between the Langlands Correspondence and Topological QFT. Follow-up here at MO.

Alex S mentioned some very general form of Poincare duality

Gross-Hopkins duality mentioned by Behrens here

Hartshorne: Residues and duality, LNM0020.

Something about string theory and a very general form of Poincare duality

An interesting framework by Greenlees, Dwyer, Iyengar

Duality for abelian schemes: See Oort: LNM0015.

Altman and Kleiman LNM0146 Intro to Grothendieck duality. Looks very readable.

Preprint in progress of Rognes: Topological arithmetic duality

Scholbach thesis hints at duality underlying L-function stuff.

Saito: Cohomological Hasse principle for a threefold over a finite field review. Uses “arithmetic Poincare duality”, according to the review.

http://nlab.mathforge.org/nlab/show/dualizable+object

Minhyong Kim gave a talk in Cambridge in Feb 2011 called “Remarks on non-abelian duality”

nLab page on Duality

Created on June 9, 2014 at 21:16:13 by Andreas Holmström