TITLES AND ABSTRACTS OF LECTURES AND TALKS
Alexey Isaev (BLTP, JINR, Dubna, Russia)
Title: Introduction to Theory of Integrable Systems
Abstract:
1. The Korteweg–De Vries (KdV) equation. Historical remarks and definition
2. Hamiltonian structures for the KdV system
3. Lax pair. Integrability of the KdV equation
4. Pseudo-differential operators and the KdV hierarchy
5. Backlund transform for the KdV equation (Miura transformation)
6. KP Hierarchy, N-solitonic solutions and Sato formula
Schedule: Thursday, September 8th & September 9th
Borislav Pavlov (Sofia University, Bulgaria)
Title: Testing the Standard Model and Physics Beyond It
Abstract: The Standard Model provides a remarkably successful description of the fundamental particles and their interactions, while leaving several important questions unanswered. This lecture begins with a concise overview of the Standard Model, including its gauge structure, electroweak symmetry breaking, flavor sector, and effective-field-theory perspective. Selected experimental results are then discussed to illustrate how precision measurements, rare processes, studies of the Higgs boson and top quark, and searches for new phenomena provide stringent tests of the Standard Model and offer opportunities to uncover physics beyond it.
Schedule: Friday, September 11th, 10:15 - 11:00
Daniel Grumiller (TU Wien, Viena, Austria)
Title: Flat space holography
Abstract: While our best realization of the holographic principle is the AdS/CFT correspondence, we would like to understand if holography also works for asymptotically flat spacetimes. These lectures provide an introduction to flat space holography with focus on the Carrollian approach, especially in three bulk dimensions.
Lecture 1: Aspects of AdS/CFT
Lecture 2: Asymptotically flat spacetimes
Lecture 3: Carrollian conformal field theories
Lecture 4: Towards flat space holography
Schedule: Monday, September 7th
Goran Djordjevic (University of Nis, Serbia, Executive Director of SEENET-MTP)
Title: The newest results in Cosmology, Applications of holography. An announcement and introduction to the continuation of the program.
Abstract: TBA
Schedule: Monday, September 7th, 10:15 - 11:00
Kalin Staykov (Sofia University, Bulgaria)
Title: Static and rotating compact stars in general relativity and modified theories of gravity
Abstract: During the lecture we will develop the techniques used to construct static compact objects in general relativity. We will then extend this formalism to scalar–tensor theories of gravity and discuss the construction of numerical solutions in this context. Finally, we will briefly examine differentially rotating neutron stars as realistic merger remnants and the methods used to construct such configurations.
Schedule: Tuesday, September 10th
Marija Tomasevic (CERN, Geneva, Switzerland)
Title: Quantum Aspects of Space and Time
Abstract: Classical general relativity reveals that space and time can behave in striking ways under extreme conditions. Horizons can form, and curvature singularities can arise, yet the latter remain poorly understood. While a complete theory of quantum gravity is still out of reach, we can nevertheless make progress by studying controlled quantum corrections, whether perturbatively in hbar or in other suitable scaling regimes.
In this course, we will explore several settings in which quantum effects substantially modify the classical picture. We will see how inner horizons acquire a universal singular structure, while mild singularities can develop quantum-induced horizons that cloak them. We will also discuss scenarios in which outer horizons can disappear entirely, and how quantum effects can render wormholes traversable. Finally, time permitting, we will examine very cold black holes, where quantum corrections resolve thermodynamic puzzles and sharpen our understanding of black hole microstate counting.
Schedule: Tuesday, September 8th & Wednesday, September 9th
Todor Popov (American University in Bulgaria and INRNE, BAS)
Title: Periodic table of conformal models
Abstract: We are explaining the progress of understanding the hierarchy of quantum mechanical models with inherent conformal symmetry (such as hydrogen atom and Landau problem ) in various dimensions via the classification of Jordan algebras. The finite dimensional Euclidean algebra classification allows for an extension to Jordan superalgebras and it is then employed to classify models with superconformal symmetry.
Schedule: Monday, September 7th, 17:00 - 17:45
Venelin Kozhuharov (Sofia University, Bulgaria)
Title: Searching for New Light Particles
Abstract: Dark photons:
● Models
● Phenomenology
● Observables (or non-observables)
● When experiment meets theory
● Experiments … experiments … experiments
Schedule: Friday, September 11th, 11:30 - 12:15
Veselin Filev (IMI-BAS, Bulgaria)
Title: Matrix Models and Holography
Abstract: Random matrices are the simplest theories with a large-N limit, yet they capture an astonishing amount of physics: the semicircle law and the planar diagrams of 't Hooft, the exact solutions of Brézin, Itzykson, Parisi and Zuber, and eventually the BFSS and Berkooz–Douglas models, where the eigenvalues of a handful of matrices describe D-branes and the black holes they form. These four lectures follow that thread from Wigner's ensembles to supersymmetric matrix quantum mechanics, and then show how Monte Carlo simulation, from detailed balance to Hybrid Monte Carlo, turns these models into a precision testing ground for holography. Recent numerical tests of gauge/gravity duality, including the phase structure of commuting matrix models, the BFSS and BMN models on the lattice, and flavour dynamics in the Berkooz–Douglas model, are used as illustrations throughout.
Schedule: Wednesday, September 9th