In a series of four talks, I will try to give a brief introduction to the subject and look at examples and applications following the exposition of universality, functoriality and localization, and triangulated categories and localization. The main references on the subject are the tensor triangulated categories and the Balmer spectrum and some examples and applications.
Fourth International Conference Women in Mathematics in South-Eastern [...]
The International Center for Mathematical Sciences – Sofia is organizing for a third consecutive year a meeting of young Bulgarian mathematicians from around the world. The conference will take place at the Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences (IMI-BAS) on July 13 – 14, 2023. It is a satellite event of the conference Mathematics Days in Sofia. Special guest of the event is Prof. Martin Vechev from ETH Zurich and INSAIT.
An integer partition of an integer number n is simply a decreasing sequence of integers whose sum is equal to n. Naturally, integer partitions and their theory are ubiquitous in mathematics. I will report on a link between an algebro-geometric invariant of singularities and the theory of integer partitions in the spirit of Ramanujan. The talk is aimed at a wide audience of mathematicians.
Michael R. Douglas received his PhD in Physics in 1988 under the supervision of John Schwarz, one of the developers and leading researchers in superstring theory. Douglas is best known for his work in string theory, for the development of matrix models (the first nonperturbative formulations of string theory), for his work on Dirichlet branes and on noncommutative geometry in string theory, and for the development of the statistical approach to string phenomenology. He has influenced the developments of modern mathematics by finding interpretations of branes on the language of derived categories and introducing the theory of stability conditions for categories.
In the first part of the talk, I shall explore the consequences of distinguishing the foundations of meaning and the foundations of truth in mathematical statements, or imagination and rigor as motors of mathematical development. The foundations of meaning can be sought in our largely unconscious perception of the world, which modern cognitive science is exploring.
The event is jointly organized by the International Centre for Mathematical Sciences (ICMS-Sofia) at the Institute of Mathematics and Informatics in Sofia, and the Institute for the Mathematical Sciences of the Americas (IMSA) at the University of Miami. The conference will be held at the UM campus.
The workshop will bring renowned specialists from different subfields of contemporary probability theory. Along with the invited lectures, anyone interested may apply for a contributed talk.
In this talk, I will first introduce the basic facts and ideas of non-archimedean uniformization and discuss some applications in mirror symmetry if time is permitted.
In my talk, I will overview progress in the area and its connection with other fields: theoretical computer science, number theory, and analysis. In particular, I will discuss a joint work with Zilin Jiang confirming Fejes Toth's long-standing zone conjecture and recent results with Alexey Glazyrin and Roman Karasev on a polynomial plank problem, a far-reaching generalization of Bang's theorem.
International Center for Mathematical Sciences
Institute of Mathematics and Informatics
Bulgarian Academy of Sciences
Acad. G. Bonchev St. bl.8
1113 Sofia, Bulgaria
Tel. +359 2 9793822
icms-office@math.bas.bg
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