Activities This Week
Arithmetic applications of o-minimality
Ax–Lindemann with derivatives for Fuchsian groups Online
Dec 15, 10:10—12:00, 2020, online
Speaker
Moshe Kamensky
Abstract
I will review some ALW-type results for the $j$ function and its derivative, following the paper Ax-Lindemann-Weierstrass with derivatives and the genus 0 Fuchsian groups
Jerusalem - Be'er Sheva Algebraic Geometry Seminar
Special values of motives over Spec Z
Dec 16, 15:00—16:30, 2020,
Speaker
Jakob Scholbach (Münster (Germany))
Abstract
L-functions of motives over Spec Z encompass both L-functions associated to smooth projective varieties over Q and zeta functions of schemes over Spec Z. In this talk I will state a conjecture about special values of such L-functions. This conjecture shares a kinship with Poincaré duality or Artin-Verdier duality. It is equivalent to the conjunction of the conjectures of Beilinson, Soulé and Tate and allows to take advantage of the fact that motives over Spec Z form a triangulated category.
BGU Probability and Ergodic Theory (PET) seminar
Multiscale substitution tilings
Dec 17, 15:30—16:30, 2020, Online
Speaker
Yotam Smilansky (Rutgers University)
Abstract
Multiscale substitution tilings are a new family of tilings of Euclidean space that are generated by multiscale substitution rules. Unlike the standard setup of substitution tilings, which is a basic object of study within the aperiodic order community and includes examples such as the Penrose and the pinwheel tilings, multiple distinct scaling constants are allowed, and the defining process of inflation and subdivision is a continuous one. Under a certain irrationality assumption on the scaling constants, this construction gives rise to a new class of tilings, tiling spaces, and tiling dynamical systems, which are intrinsically different from those that arise in the standard setup. In the talk, I will describe these new objects and discuss various structural, geometrical, statistical, and dynamical results. Based on joint work with Yaar Solomon.