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Опубликовано 3 октября 2013, 21:00
Duistermaat-Heckman formula and 2-dimensional Yang-Mills theory | Лектор: A. Alekseev | Организатор: Математическая лаборатория имени П.Л.Чебышева
Смотрите это видео на Лекториуме: lektorium.tv/lecture/14620
In 1982, Duistermaat and Heckman came up with an amazing formula which shows that for a certain type of oscillatory integrals the first twoterms of the steepest descent (or stationary phase) asymptotics give the exact result for the integral. In 1992, Witten applied this idea topath integrals of the 2-dimensional Yang-Mills theory to obtain intersection pairings on the moduli space of flat connections on a 2-dimensional surface. In the talk, we'll give an elementary introduction into the Duistermaat-Heckman theory. We'll then review some of the attempts to understand Witten's path integral calculations.
Подписывайтесь на канал: lektorium.tv/ZJA
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Смотрите это видео на Лекториуме: lektorium.tv/lecture/14620
In 1982, Duistermaat and Heckman came up with an amazing formula which shows that for a certain type of oscillatory integrals the first twoterms of the steepest descent (or stationary phase) asymptotics give the exact result for the integral. In 1992, Witten applied this idea topath integrals of the 2-dimensional Yang-Mills theory to obtain intersection pairings on the moduli space of flat connections on a 2-dimensional surface. In the talk, we'll give an elementary introduction into the Duistermaat-Heckman theory. We'll then review some of the attempts to understand Witten's path integral calculations.
Подписывайтесь на канал: lektorium.tv/ZJA
Следите за новостями:
vk.com/openlektorium
facebook.com/openlektorium
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