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13 03, 2024

Ellipsoid superpotentials: obstructing symplectic embeddings by singular algebraic curves, a talk by Grigory Mikhalkin

2024-03-13T14:20:00+02:00March 13th, 2024|Geometry Seminar, News|

How singular can be a local branch of a plane algebraic curve of a given degree d? A remarkable series of real algebraic curves was constructed by Stepan Orevkov. It is based on even-indexed numbers in the Fibonacci series: a degree 5 curve with a 13/2 cusp, a degree 13 curve with a 34/5-cusp, and so on. We discuss this and other series of algebraic curves in the context of the problem of symplectic packing of an ellipsoid into a ball...

11 03, 2024

Dynamical zeta function for billiard flow, colloquium talk by Vesselin Petkov

2024-03-11T15:19:53+02:00March 11th, 2024|Colloquium, News|

Vesselin Petkov is a professor emeritus ат the University of Bordeaux who has made important contributions to hyperbolic partial differential equations, spectral and scattering theory and dynamical systems.

8 02, 2024

Quantum circuit complexity for light polarisation or complexity with no complex number, talk by Jean-Pierre Gazeau

2024-02-12T09:43:47+02:00February 8th, 2024|ICMS Seminar, News|

I will present a form of quantum circuit complexity that extends to open systems. To illustrate the methodology, I  focus on a basic model where the Hilbert space of states is represented by the Euclidean plane. Specifically, the  investigation is about the dynamics of mixed quantum states as they undergo interactions with a sequence of gates.

2 02, 2024

A categorical view of singularity theory I and II, talks by Paul Horja

2024-02-02T12:36:00+02:00February 2nd, 2024|ICMS Seminar, News|

The mirror symmetry phenomenon was discovered by string theorists more than thirty years ago as an equivalence of two physical theories associated with very different geometries. The categorical point of view on this remarkable conjecture was famously introduced by M. Kontsevich in his 1994 ICM talk. As it became clear over time, homological mirror symmetry provides new approaches to many topics in symplectic and algebraic geometry. In these two talks, I will present a brief overview of the conjecture as well as some results inspired by mirror symmetry and obtained in joint work with L. Katzarkov about classical problems on discriminants and singularity theory.

12 01, 2024

The H-flux on flag manifolds generated by infinitesimal T-duality, talk by Carlos Varea

2024-01-12T13:04:33+02:00January 12th, 2024|ICMS Seminar, News|

A talk by Carlos Varea, (Universidade Tecnológica Federal do Paraná - Campus Cornélio Procópio, Brazil) on January 16, 14:00 Sofia time.

10 01, 2024

Nilpotent algebras, groups and beyond, talk by Yuri Bahturin

2024-01-15T14:38:13+02:00January 10th, 2024|ICMS Seminar, News|

We study various correspondences between finite-dimensional nilpotent algebras and (quasi)groups similar to those given by the circle product in the case of associative algebras or by the Baker-Campbell-Hausdorff formulas in the case of Lie algebras or their generalizations. In the particular case of Malcev's correspondence, we obtain some new results about groups using Lie algebras and vice versa.

4 01, 2024

The Milnor number of a smoothable curve, talk by Antony Rangachev

2024-01-04T12:32:11+02:00January 4th, 2024|ICMS Seminar, News|

In this talk I will derive an algebraic formula for the Milnor number of a smoothable complex analytic curve singularity X by relating it to the Euler characteristic of its smoothing, which in turn I will relate to the multiplicity of the Jacobian ideal of X and and the multiplicity of X at its singular point. If time permits I will discuss generalizations to higher dimensions. This is a report on a joint work with Gaffney and Bengus-Lasnier.

4 01, 2024

Stratified Morse theory and the critical locus of a linear functional, talk by Antony Rangachev

2024-01-04T12:29:00+02:00January 4th, 2024|ICMS Seminar, News|

In this talk I will use stratified Morse theory to relate the number of critical points of a generic linear functional on a complex analytic manifold M to the Euler characteristics of M and a generic hyperplane slice of M.

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