Arc spaces and partition identities

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.

May 30th, 2023|Categories: Colloquium, News|

Consortium Distinguished Lecture Series presents Michael R. Douglas

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.

May 22nd, 2023|Categories: Consortium Distinguished Lecture Series, News|

Objectivity and Subjectivity in Mathematics

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.

May 9th, 2023|Categories: ICMS Seminar, News|

Quantum Toric Geometry, Generalized Geometries and O-Minimality

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.

April 30th, 2023|Categories: Conferences, News|

Non-Archimedean Uniformization and its Application, ICMS seminar talk by Jiachang Xu

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.

March 9th, 2023|Categories: ICMS Seminar, News|
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