COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Reciprocity for Valuations of Theta Functions

## Reciprocity for Valuations of Theta FunctionsAdd to your list(s) Download to your calendar using vCal - Gregory Muller (University of Oklahoma)
- Friday 12 November 2021, 13:45-14:15
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. CARW03 - Interdisciplinary applications of cluster algebras The Gross-Siebert program associates a theta function on X to each boundary valuation on Y, where X and Y are a pair of mirror dual affine log Calabi-Yau varieties with maximal boundary (such as cluster varieties). Since mirror duality is a symmetric relation, this provides two ways to associate an integer to a pair m and n of boundary valuations on X and Y (respectively).1) Apply the valuation m to the theta function associated to n.2) Apply the valuation n to the theta function associated to m.Resolving a conjecture of Gross-Hacking-Keel-Kontsevich, we show that these two numbers are equal in a generality which covers all cluster algebras (specifically, when the theta functions are given by enumerating broken lines in a scattering diagram generated by finitely-many elementary incoming walls). Time permitting, I will discuss applications to tropicalizations of theta functions, Donaldson-Thomas transformations, and localizations of cluster algebras. This work is joint with Man-wai Cheung, Tim Magee, and Travis Mandel. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
- Featured lists
- INI info aggregator
- Isaac Newton Institute Seminar Series
- School of Physical Sciences
- Seminar Room 1, Newton Institute
- bld31
Note that ex-directory lists are not shown. |
## Other listsCambridge Biomedical Research Centre "Distinguished Visitors" 2017 Lecture Series How Digital Marketing Can Help You To Grow Business? Department of Earth Sciences Seminars (downtown)## Other talksThe Anne McLaren Lecture Tea Club Seminar - Ritwick Sarwarkar - "Host chromatin response to SARS-CoV-2 et al" Title: An outbreak of heart failure at Moe’s Tavern The Arctic at the End of the World: Hannah Arendt and the Narration of Apocalypse Wnt gradients: how they form and their role in tissue morphogenesis |