Moduli spaces of bundles via motivic probabilities
Abstract/Contents
- Abstract
- We give formulas for the classes in the completed Grothendieck ring of varieties of the moduli stacks of principal bundles for the special linear or symplectic groups over a curve X in terms of the motivic zeta function of X. The answers agree with predictions of Behrend and Dhillon. The computations rely on interpreting certain classes in the Grothendieck ring in a probabilistic way, using work of Margaret Bilu and Sean Howe.
Description
| Type of resource | text |
|---|---|
| Form | electronic resource; remote; computer; online resource |
| Extent | 1 online resource. |
| Place | California |
| Place | [Stanford, California] |
| Publisher | [Stanford University] |
| Copyright date | 2019; ©2019 |
| Publication date | 2019; 2019 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Author | Fayyazuddin Ljungberg, Benjamin Ake |
|---|---|
| Degree supervisor | Vakil, Ravi |
| Thesis advisor | Vakil, Ravi |
| Thesis advisor | Bump, Daniel, 1952- |
| Thesis advisor | Kemeny, Michael |
| Degree committee member | Bump, Daniel, 1952- |
| Degree committee member | Kemeny, Michael |
| Associated with | Stanford University, Department of Mathematics. |
Subjects
| Genre | Theses |
|---|---|
| Genre | Text |
Bibliographic information
| Statement of responsibility | Benjamin Fayyazuddin Ljungberg. |
|---|---|
| Note | Submitted to the Department of Mathematics. |
| Thesis | Thesis Ph.D. Stanford University 2019. |
| Location | electronic resource |
Access conditions
- Copyright
- © 2019 by Benjamin Ake Fayyazuddin Ljungberg
- License
- This work is licensed under a Creative Commons Attribution 3.0 Unported license (CC BY).
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