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Seminarium Instytutu Fizyki Teoretycznej Uniwersytetu Wrocławskiego

12:15 Friday, 10-01-20
UWr, pl. Maksa Borna 9, sala 422

Physical mathematics, string theory, and knots-quivers correspondence

prof. Piotr Sułkowski

Uniwersytet Warszawski

String theory, apart from motivations and applications related to phenomenology, has been an important source of inspiration for mathematicians. It has led to a number of deep mathematical predictions, and even gave rise to a broad research direction, which has been referred to as a "physical mathematics" in recent years. As one such prediction, in this seminar I will present the so-called "knots-quivers correspondence"; (where a "knot" means a closed loop in three dimensions, and a "quiver" is a graph that consists of nodes connected by arrows). From a physics perspective, this correspondence is the statement that two descriptions of a certain system in string theory are equivalent. From mathematical viewpoint, this correspondence is the statement that certain quantities in two seemingly unrelated mathematical fields are intimately related; in consequence it enables to prove some important conjectures in knot theory, it reveals new interesting properties of hypergeometric functions, etc.

im. Włodzimierza Trzebiatowskiego
Adres Instytutu:
ul. Okólna 2, 50-422 Wrocław
Adres elektroniczny:
71 343 5021, 71 395 4xxx (xxx nr wew.)
Fax: 71 344 1029
Poniedziałek - piątek w godz. 7:30-15:30