Localization theorem for algebraic stacks

Add to your list(s) Download to your calendar using vCal

• Charanya Ravi (Max Planck Institute for Mathematics)
• Tuesday 28 June 2022, 16:00-17:00
• Seminar Room 2, Newton Institute.

If you have a question about this talk, please contact nobody.

KAH2 - K-theory, algebraic cycles and motivic homotopy theory

The classical Atiyah-Bott localization theorem relates the equivariant cohomology of a space X with the action of a torus T with the cohomology of its fixed locus after inverting finitely many elements in the cohomology of BT. This theorem finds applications in enumerative geometry when the parameter space has a natural torus action. The need to access more general parameter spaces (singular and stacky) and the need for refined counts (in other cohomology theories) motivates the need for a more general localization theorem. In this talk, based on a joint work in progress with Dhyan Aranha, Adeel Khan, Alexei Latyntsev and Hyeonjun Park, we will discuss such a unified Atiyah-Bott localization theorem for equivariant cohomology theories of possibly singular algebraic stacks with an action of a linear algebraic group.

This talk is part of the Isaac Newton Institute Seminar Series series.

This talk is included in these lists:

• All CMS events
• Featured lists
• INI info aggregator
• Isaac Newton Institute Seminar Series
• School of Physical Sciences
• Seminar Room 2, Newton Institute
• bld31

Note that ex-directory lists are not shown.