9:40-10:40 Jiyoung Han 10:55-11:55 Maxim Kirsebom 1:30-2:30 Sanghoon Kwon 2:45-3:45 Donghan Kim 4:00-5:00 Seonhee Lim --------------------------------- Speaker : 한지영 (서울대) Title : The distribution of the image of S-adic integral points under an isotropic quadratic form. Abstract : There are many differences as well as similarities between p-adic Lie groups and real Lie groups. By taking the cartesian product of them, we obtain an interesting structure, called S-adic Lie groups. For example, one can generalize lattices of real spaces to those of S-adic spaces. In this setting, we examine the distribution of the image of an S-adic lattice under an isotropic quadratic form, which is a generalization of the work of Eskin-Margulis-Mozes (1998). This is a joint work with Seonhee Lim and Keivan Mallahi-Karai. --------------------------------- Speaker : Maxim Kirsebom (Univ. Bremen) Title: A Multivariate extreme value law (EVL) for maximal geodesic windings around distinct cusps. Abstract : In this talk I will describe results that extend the the work of Jaerisch, Kesseböhmer and Stratmann on univariate EVLs for cuspidal windings of geodesics on H^2/Gamma where Gamma is a certain kind of Fuchsian group. For this kind of Gamma, H^2/Gamma may have multiple cusps and many natural questions as to the behavior of geodesics in distinct cusps arise. We answer several such questions using multivariate extreme value theory. The question of EVLs for maximal cuspidal excursions of geodesics was brought to life by Pollicott in 2006 when he demonstrated that a result of Galambos from 1972 concerning an EVL for entries of continued fractions expansions, could be translated into a statement about cuspidal excursions of geodesics on H^2/PSL(2,Z). This translation uses the coding theory for geodesics developed by Series and others. -------------------------- Speaker : 권상훈 (KIAS) 제목: Dynamics on the space of lattices in positive characteristic local fields 초록: We investigate the dynamics on the space of lattices SL(n,K)/SL(n,Z) of positive characteristic local fields K. We study the behavior of expanding translates of orbits under certain unipotent group and relate those to the properties of tiling system on Bruhat-Tits buildings. This a part of joint work with Seonhee Lim. -------------------------- Speaker : 김동한 (동국대) Title: Inhomogeneous Diophantine approximation with a fixed irrational number Abstract : Fix an irrational number $theta$. We consider the set of points $y$ such that $| n theta - y | < varphi(n)$ with general monotone error functions $varphi(n)$. We give an necessary and sufficient condition for the set has full Lebesgue measure and calculate the Hausdorff dimension. We also consider uniform approximation with an error function $varphi(n) = n^0$. ------------------------------- Speaker : 임선희 (서울대) TItle : Hausdorff dimension of bad grids Abstract : In this talk, we will review some results on Diophantine approximation which are obtained by homogeneous dynamics on the space of lattices. One main question related to inhomogeneous Diophantine approximation will be explored : the Hausdorff dimension of bad grids. This is a joint work with U. Shapira and N. de Saxce.