2023 Fiscal Year Annual Research Report
Loop and double loop geometry
| Project/Area Number |
19K14495
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| Research Institution | The University of Tokyo |
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Principal Investigator |
MUTHIAH DINAKAR 東京大学, カブリ数物連携宇宙研究機構, 客員准科学研究員 (50835410)
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| Project Period (FY) |
2019-04-01 – 2024-03-31
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| Keywords | Coulomb branches / KM Affine Grassmannians / KM Affine Hecke Algebras |
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| Outline of Annual Research Achievements |
In the past year, my collaborator Auguste Hebert and I have been making further progress on our project on completed Iwahori-Hecke algebras for p-adic Kac-Moody groups.
Additionally, Alex Weekes and I have continued working on quantized limit zastava spaces and their relationship to Kac polynomials. Following up on our previous paper on Fundamental Monopole Operators and their compatibility with closed embeddings, we construct a quantized limit zastava satisfying a similar theorem regarding Fundamental Monopole Operators.
Finally, Anna Puskas and I have continued work on a paper about Coxeter theory for Kac-Moody affine Hecke algebras. We have a draft preprint, and we should be able to post it soon.
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