# Quantization of the Ngô morphism (VIRTUAL)

### APA

Gannon, T. (2024). Quantization of the Ngô morphism (VIRTUAL). Perimeter Institute. https://pirsa.org/24050069

### MLA

Gannon, Tom. Quantization of the Ngô morphism (VIRTUAL). Perimeter Institute, May. 09, 2024, https://pirsa.org/24050069

### BibTex

@misc{ pirsa_PIRSA:24050069, doi = {10.48660/24050069}, url = {https://pirsa.org/24050069}, author = {Gannon, Tom}, keywords = {Mathematical physics}, language = {en}, title = {Quantization of the Ng{\^o} morphism (VIRTUAL)}, publisher = {Perimeter Institute}, year = {2024}, month = {may}, note = {PIRSA:24050069 see, \url{https://pirsa.org}} }

Tom Gannon University of California, Los Angeles

## Abstract

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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