Timeline for State of research in moduli space of flat connections
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Jun 5, 2017 at 17:10 | comment | added | user21574 | Study the symplectic volume of moduli space of flat connections and its asymptotic formula historically come back to Witten.For example Witten (and later Bismut by different approach)showed that the symplectic volume of moduli of flat connections on Riemann surface $S$ of genus $g$ can be written by Yang-Mills functional $$Vol=\lim_{t\to 0}\int_\mathcal A\exp\left(-\frac{\int_S|F_A|^2}{4t}\right)d\mathcal A$$ See .E. Witten. On quantum gauge theories in two dimensions. Comm. Math. Phys., 141:153–209, 1991 | |
| Jun 25, 2013 at 3:02 | review | First posts | |||
| Jun 25, 2013 at 5:03 | |||||
| Jun 10, 2013 at 15:20 | comment | added | Peter Crooks | I think the author's reference to the Langlands Program was just for purposes of giving an example of problems not immediately accessible to graduate students at the outset. I suspect the author is not seeking an answer involving the Langlands Program. | |
| Jun 8, 2013 at 2:34 | comment | added | Eleanor Von Hohlandsbourg | Maybe one could say that Geometric Langlands is advancing so quickly that it is important to have access to a "big expert" if one wants to work on that. | |
| Jun 7, 2013 at 22:51 | comment | added | S. Carnahan♦ | The Geometric Langlands Program, which is a reasonably active field, has something to do with sheaves on this moduli space. | |
| Jun 7, 2013 at 21:55 | history | asked | Tyler Holden | CC BY-SA 3.0 |