Geometrija, obrazovanje i vizualizacija sa primenama, 11. oktobar 2018.

• 08. Oktobar,  2018
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Naredni sastanak Seminara biće održan u četvrtak, 11. oktobra 2018. u sali 301f Matematičkog instituta SANU sa početkom u 17:15.

Predavač: Dmitri Polyakov
Center for Theoretical Physics, College of Physical Science and Technology Sichuan University, Chengdu 6100064, China;
Institute of Information Transmission Problems (IITP) Moscow, Russia

Naslov predavanja: EXACT FORMULA FOR A NUMBER OF RESTRICTED PARTITIONS FROM CONFORMAL FIELD THEORY

Apstract: A partition of a number N of length p is a decomposition

$N=n_1+ ... +n_p$, where $0<n_1leq{n_2}...leq{n_p}$, $1leq{p}leq{N}$.

Finding an exact formula for a number of such partitions is a long-standing problem in number theory. For a total number of partitions, various approximations are known, such as Ramanujan-Hardy formula, as well as its improvements. If the length $p$ is fixed (restricted partitions) the problem becomes even more complicated, and no exact solution to it has been known. In my talk, I show how to derive exact analytic formula for the number of restricted partitions from corelators of irregular vertex operators in conformal field theory (CFT), that I will describe in the talk.

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