Application of the Laplace transform for evaluating sums of hyperharmonic-like series in Banach algebras and modules
Bogdan Djordjevic, Serbian Academy of Arts and Sciences, visitor at ICMS, IMI-BAS
Tuesday, June 2, room 403, IMI-BAS. 13:00
Bogdan Djordjevic, Serbian Academy of Arts and Sciences, visitor at ICMS, IMI-BAS
Tuesday, June 2, room 403, IMI-BAS. 13:00
From 15 to 17 May 2026, ICMS-Sofia hosted the international conference Celebrating Women in Representation Theory, gathering sixteen invited speakers from leading universities in nine countries on three continents. The meeting was the latest in the ICMS-Sofia Women in Mathematics conference series, first launched in 2020.
Harry Shaw, University of Bath
Tuesday, May 19, room 403, IMI-BAS. 13:00
A lecture series by Ivan Dimitrov (Queen's University, Canada) on root systems, their generalizations, and applications to hyperplane arrangements and inversion sets of roots — May 19, 21 and June 1, 3, 5, 2026, ICMS-Sofia (Room 403) and via Zoom.
A lecture series by Gordana Todorov (Northeastern University) on quiver representations, cluster algebras, higher Auslander algebras and preprojective algebras — May 18–22, 2026, ICMS-Sofia (Room 403) and via Zoom.
Jonathan Taylor, University of Potsdam
Wednesday, May 13, room 403, IMI-BAS. 13:00
Ina Petkova, Dartmouth College
Tuesday, May 12, room 403, IMI-BAS. 13:00
What new structures emerge when algebraic varieties degenerate to piecewise-linear shadows? How do tropical curves illuminate enumerative invariants and mirror symmetry? Where does tropical geometry meet non-archimedean analysis, symplectic topology, and the geometry of moduli? Recent Trends in Tropical Geometry is a research conference bringing together a focused group of mathematicians working in tropical geometry and its interactions with algebraic geometry, enumerative geometry, mirror symmetry, non-archimedean geometry, and related areas.
Based on several past works with G. Kerr and H. Ruddat and on some ongoing projects with C.-Y. Mak, D. Matessi, H. Ruddat, and A. Vicente.
In the first lecture, I will review the construction of atoms, beginning with an overview at the formal level before addressing the technical difficulties that necessitate the use of non-Archimedean fields. I will also discuss the behavior of the Hodge structure under Iritani’s blow-up formula. In the second lecture, I will introduce the new atomic invariant and provide the proof for the following theorem: if a smooth complex cubic fourfold is rational, then its primitive cohomology is isomorphic, as a Hodge structure, to the shifted middle cohomology of a projective K3 surface. The proof relies on explicit computations for surfaces that I will present.