Quantization of the Ngô morphism (VIRTUAL)
PIRSA ID:
24050069
Series:
Mathematical Series
Event Type:
Seminar
Scientific Area(s):
Mathematical Physics
End date:
Speaker(s):
- Tom Gannon, University of California, Los Angeles
We will discuss work, joint with Victor Ginzburg, on the quantization (non-commutative deformation) of the Ngô morphism, a morphism of group schemes which plays a key role in Ngô’s proof of the fundamental lemma in the Langlands program. We will also discuss how the tools used to construct this morphism can be used to prove conjectures of Ben-Zvi—Gunningham, which predict that this morphism gives “spectral decomposition” of DG categories with an action of a reductive group over the coarse quotient of a maximal Cartan subalgebra by the affine Weyl group.
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