| Monday 20 May 2024 | |
| Events for day: Wednesday 10 January 2024 |
| 11:00 - 12:00 Wednesday Weekly Seminar - meeting Classical Liouville Action and Uniformization of Orbifold Riemann Surfaces: A Geometric Approach to Classical Correlation Functions of Branch Point Vertex Operators School PARTICLES AND ACCELERATORS Abstract: In this talk, based on arXiv:2310.17536, we will study the classical Liouville field theory on Riemann surfaces of genus g>1 in the presence of vertex operators associated with branch points of orders mi>1. In particular, classical correlation functions of branch point vertex operators on a closed Riemann surface is related to the on-shell value of Liouville action functional on the same Riemann surface but with the insertion of conical points (of angles 2pi/mi) at the location of these operators. With this motivation, and using the results of arXiv:1508.02102 and arXiv:1701.00771, we will study the appropriate classi ... 12:45 - 13:45 Geometry and Differential Equations Seminar Decay of linear waves on Schwarzschild black holes School MATHEMATICS The Schwarzschild black holes are the most famous family of solutions of the vacuum Einstein equations. One of the most fundamental questions about this family is the full nonlinear stability of the Schwarzschild family which was proven in 2021. The first step to understanding this result is to study the wave equation which can be viewed as a "poor man?s linearization" of Einstein's equations. In this talk, I will discuss methods of showing the boundedness and decay of solutions to the linear wave equation on the Schwarzschild exterior. Venue: Niavaran, Lecture Hall 1 ... 14:00 - 15:00 Weekly Seminar Toward a realistic model of biomembranes School NANO SCIENCES Biomembranes are fundamental to cell biology. They are a complex two-dimensional fluid, composed of myriad proteins and lipid species, which provide identity to the cell and to many internal organelles. Membrane spatial (shape) and lateral organization are two intriguing aspects of biomembranes, often connected, that are continuously adopted in a living cell to accommodate important cellular processes, e.g., signaling, cell division and energy generation or by many invasive pathogenic complexes e.g viruses and toxin to initiate their entry into the host cell. Therefore, uncovering the mechanisms that underlie the organization of biomembranes ... 15:30 - 17:00 Geometry and Topology Short Course Counting Problems and Teichmuller Theory School MATHEMATICS In her thesis, Mirzakhani proved that the number of simple closed geodesics (that is, closed geodesics without self-intersection) of length at most $L$ in a fixed hyperbolic surface $X$ is asymptotic to a constant times $L^{6g - 6}$, as $L o infty$ (here, $g geq 2$ is the genus of $X$). More recently, Eskin-Mirzakhani-Mohammadi presented an alternative proof of Mirzakhani's theorem by relating the count in question to lattice point counts in Teichmuller balls of large radius, a count that was previously studied by Athreya-Bufetov-Eskin-Mirzakhani. Their approach enabled them to obtain a more precise result, namely, to obtain a power-savin ... |