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Extra Form
Lecturer 황준호
Dept. 서울대학교
date Sep 02, 2021

 

A fundamental result in number theory is that, under certain linear actions of arithmetic groups on homogeneous varieties, the integral points of the varieties decompose into finitely many orbits.

For a classical example, the set of integral binary quadratic forms of fixed nonzero discriminant consists of finitely many orbits under action of the modular group SL2(Z).

In this talk, we discuss certain classes of algebraic varieties with inherently nonlinear group actions, for which analogous finite generation results for integral points can be established or conjectured.

These varieties arise as various moduli spaces (of local systems on surfaces, Stokes matrices, etc.) in geometry and topology of manifolds, allowing application of external tools to the study of Diophantine problems; the latter will be emphasized in the talk.

 
Atachment
Attachment '1'
List of Articles
Category Subject Dept. Lecturer
Math Colloquia Conformal field theory in mathematics file 고등과학원 강남규
Math Colloquia Congruences between modular forms file 서울대 유화종
Math Colloquia Connectedness of a zero-level set as a geometric estimate for parabolic PDEs file KAIST 김용정
Math Colloquia Connes's Embedding Conjecture and its equivalent file RIMS Narutaka Ozawa
Math Colloquia Conservation laws and differential geometry file Univ. of Wisconsin Marshall Slemrod
Math Colloquia Contact Homology and Constructions of Contact Manifolds file 서울대 Otto van Koert
Math Colloquia Contact instantons and entanglement of Legendrian links file IBS-CGP /POSTECH 오용근
Math Colloquia Contact topology of singularities and symplectic fillings file 순천대학교 권명기
Math Colloquia Convex and non-convex optimization methods in image processing file Hong Kong Baptist University Michael Ng
Math Colloquia Counting circles in Apollonian circle packings and beyond file Brown Univ. 오희
Math Colloquia Counting number fields and its applications file UNIST 조재현
Math Colloquia Creation of concepts for prediction models and quantitative trading file Haafor 이승환
Math Colloquia Deformation spaces of Kleinian groups and beyond file Osaka University Kenichi Ohshika
Math Colloquia Descent in derived algebraic geometry file 서강대학교 조창연
Math Colloquia Diophantine equations and moduli spaces with nonlinear symmetry file 서울대학교 황준호
Math Colloquia Elliptic equations with singular drifts in critical spaces file 서강대학교 김현석
Math Colloquia Entropies on covers of compact manifolds file CNRS (France) François Ledrappier
Math Colloquia Entropy of symplectic automorphisms file 서강대학교 김준태
Math Colloquia Equations defining algebraic curves and their tangent and secant varieties file KAIST 박진형
Math Colloquia Essential dimension of simple algebras file KAIST 백상훈
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