Activities This Week
Colloquium
TBA
May 7, 14:30—15:30, 2024, Math -101
Speaker
Faculty meeting
אשנב למתמטיקה
על משפט של שור Online
May 7, 18:00—19:30, 2024, אולם 101-, בניין מתמטיקה
Speaker
יאיר גלזנר
Abstract
משפט (שור): אם המרכז של חבורה הוא מאינדקס סופי $[G:ZG]=n<\infty$ אז חבורת הקומוטטור $G' = \langle [g,h]|g, h \in G\rangle$ סופית מאקספוננט $n$ כלומר מקיימת $g^n =1, \forall g \in G'$.
נוכיח את המשפט היפה הזה של שור תוך שימוש בכלים אלמנטריים שבדרך כלל לא נוגעים בהם בקורסים בתורת החבורות.
AGNT
x-y duality in topological recursion, Hurwitz numbers and integrability Online
May 8, 12:10—13:10, 2024, -101
Speaker
Boris Bychkov (HSE and Haifa)
Abstract
Topological recursion is a remarkable universal recursive procedure that has been found in many enumerative geometry problems, from combinatorics of maps, to random matrices, Gromov-Witten invariants, Hurwitz numbers, Mirzakhani’s hyperbolic volumes of moduli spaces, knot polynomials. A recursion needs an initial data: a spectral curve, and the recursion defines the sequence of invariants of that spectral curve. There is a duality in topological recursion which allows one to obtain closed formulas for the invariants of the recursion and which has implications in free probability theory and integrable hierarchies. In the talk I will survey recent progress in the topic with the examples from Hurwitz numbers theory, Hodge integrals and combinatorics of maps.
The talk is based on the joint works with A. Alexandrov, P. Dunin-Barkowski, M. Kazarian and S. Shadrin.
BGU Probability and Ergodic Theory (PET) seminar
Traveling Salesman Problem in Various Settings
May 9, 11:10—12:00, 2024, -101
Speaker
Khaled Abu Ghanem (BGU)