ICMS Seminar Tuesday, 18.11.2025, 13:00 o'clock, room 403 IMI-BAS Giovane Galindo (ICMS, IMI-BAS) Bundle-type sub-Riemannian structures on holonomy bundles Abstract: In this talk we present the notion of Gromov-Hausdorff distance, a novel field of study that aims to understand the topology of the moduli space of Riemannian metrics on a given manifold. We will then present new results on the subject concerning the collapse of principal bundles onto reductive homogeneous spaces.
Each year, an internationally distinguished scientist is invited as the Atanasoff Lecturer to deliver a keynote lecture highlighting frontier ideas where mathematical structure meets computational innovation. The series provides an open platform for dialogue across fields: pure mathematics, physics, data science, and artificial intelligence. It also serves as a tribute to the scientific imagination of John Vincent Atanasoff, whose work laid the foundations of electronic computation.
A joint meeting of the ICMS Seminar and the seminar "Analysis, geometry and topology" at IMI-BAS will be held next Tuesday, with a talk by Elia Fusi. The details are as follows. Tuesday, July 22-nd, 1:00 pm, room 403 of IMI-BAS. Elia Fusi, University of Torino. Special metrics in hypercomplex geometry Abstract:The existence of special hyperHermitian metrics plays an important role in the study of hypercomplex manifolds. In this talk, after a brief overview of the basic definitions in hypercomplex Geometry, we will discuss two of the main types of special metrics in the hypercomplex setting: quaternionic Gauduchon and strong HKT metrics. First of all, we will discuss sufficient and equivalent conditions for a quaternionic Gauduchon metric to exist. Afterwards, we will show that strong [...]
The next session of the Geometry Seminar of ICMS will be held on Wednesday, May 7, 2025, at 4:00 pm, in room 403 and via Zoom. A talk on: Binary Quadratic Forms and Conway’s Topographs (Lecture 2 of 3) will be delivered by Nikita Kalinin, Guangdong Technion Israel Institute of Technology. The next lecture will be held on 14.05.2025 at 4:00 pm. Abstract: Binary quadratic forms are as elementary as they are mysterious—much like prime numbers. In 1997, John Conway introduced topographs, a powerful geometric tool that provides a geometric visualization of binary quadratic forms and their values. These lectures will explore how topographs, combined with telescoping summation techniques, yield elegant formulas — some with intuitive geometric interpretations. For instance, consider the following result: [...]
The next session of the Geometry Seminar of ICMS will be held on Wednesday, April 30, 2025, at 4:00 pm, in room 403 and via Zoom. A talk on: Binary Quadratic Forms and Conway’s Topographs (Lecture 1 of 3) will be delivered by Nikita Kalinin, Guangdong Technion Israel Institute of Technology. The next two lectures will be held on 07.05.2025 and 14.05.2025 at 4:00 pm. Abstract: Binary quadratic forms are as elementary as they are mysterious—much like prime numbers. In 1997, John Conway introduced topographs, a powerful geometric tool that provides a geometric visualization of binary quadratic forms and their values. These lectures will explore how topographs, combined with telescoping summation techniques, yield elegant formulas — some with intuitive geometric interpretations. For instance, consider [...]
The next session of the Geometry Seminar of ICMS will be held on Wednesday, December 4, 2024, at 4:00 pm, in room 403 and via Zoom. A talk on: Tropical compactifications of moduli spaces - Part 2 will be delivered by Lionel Lanf, International Center of Mathematical Sciences (ICMS - Sofia). Abstract:In this talk I will describe various tropical compactifications of the moduli spaces of curves. I will discuss some motivations and applications coming from tropical geometry (joint with M. Melo, J. Rau and F. Viviani). Zoom link: https://us02web.zoom.us/j/83740034721?pwd=VnBtcVpGUktscHQ4a09jZkNZTURyZz09
The next session of the Geometry Seminar of ICMS will be held on Wednesday, November 27, 2024, at 4:00 pm, in room 403 and via Zoom. A talk on: Tropical compactifications of moduli spaces will be delivered by Lionel Lanf, International Center of Mathematical Sciences (ICMS - Sofia). Abstract:In this talk I will describe various tropical compactifications of the moduli spaces of curves. I will discuss some motivations and applications coming from tropical geometry (joint with M. Melo, J. Rau and F. Viviani). Zoom link: https://us02web.zoom.us/j/83740034721?pwd=VnBtcVpGUktscHQ4a09jZkNZTURyZz09
Time: August 6, 2024, 2:00 pmPlace: Room 403, IMI - BASSpeaker: Prof. Mladen Dimitrov Brown (University of Lille)Title: P-adic L-functions and the geometry of the EigencurveFurther information: https://icms.bg/p-adic-l-functions-and-the-geometry-of-the-eigencurve-talk-by-mladen-dimitrov/Abstract. For centuries, understanding special values of L-functions has been a significant research topic in number theory. Their study has been central to many celebrated pieces of mathematics, from Dirichlet’s theorem on primes in arithmetic progressions and the class number formula to the Riemann hypothesis and the Birch and Swinnerton-Dyer (BSD) conjecture, two of the famous millennium problems.The BSD conjecture predicts that the Mordell–Weil rank of an elliptic curve is given by the order of vanishing of its L-function the central point. Iwasawa theory, in turn, seeks to relate the arithmetic over the p-adic cyclotomic extension with the [...]
The Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences offers a 6-month Senior Researcher position in Sofia, Bulgaria, with a possibility for extension.
The conference is organized by the International Centre for Mathematical Sciences (ICMS–Sofia) at the Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, with the financial support of the Simons Foundation.
