# Geometry, algebra and computation in moduli theory

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강연자 현동훈
소속 서울대
date 2015-03-12

I will explain the basic concepts of moduli and how moduli spaces can be constructed in algebraic geometry. Exploring the moduli spaces and issues arising from their construction lead to interesting interplay of geometry, algebra and computation.

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1. ### Regularity of solutions of Hamilton-Jacobi equation on a domain

150902_HYKE.pdf
Category특별강연 소속ENS-Lyon 강연자Albert Fathi
2. ### What is Weak KAM Theory?

The goal of this lecture is to explain and motivate the connection between AubryMather theory (Dynamical Systems), and viscosity solutions of the Hamilton-Jacobi equation (PDE). This connection is the content of weak KAM Theory. The talk sho...
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3. ### 정년퇴임 기념강연: 회고

정년퇴임기념강연
Category수학강연회 소속서울대 강연자김도한
4. ### <학부생을 위한 강연> 사색 정리를 포함하는 Hadwiger의 추측의 변형에 관하여

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Category수학강연회 소속KAIST 강연자엄상일
5. ### The classification of fusion categories and operator algebras

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Category수학강연회 소속Kyoto University 강연자Masaki Izumi
6. ### Green’s function for initial-boundary value problem

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8. ### On the distributions of partition ranks and cranks

To explain Ramanujan's integer partition function congruences, Dyson's rank and Andrews-Garvan's crank have been introduced. The generating functions for these two partition statistics are typical examples of mock Jacobi forms and Jacobi for...
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9. ### Q-curvature in conformal geometry

In this talk, I will talk about the definition Q-curvature and some of its properties. Then I will talk about the problem of prescribing Q-curvature, especially I will explain the ideas of studying the problem using flow approach.
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Category수학강연회 소속연세대 강연자기하서
11. ### Geometry, algebra and computation in moduli theory

I will explain the basic concepts of moduli and how moduli spaces can be constructed in algebraic geometry. Exploring the moduli spaces and issues arising from their construction lead to interesting interplay of geometry, algebra and computa...
Category수학강연회 소속서울대 강연자현동훈
12. ### Gromov-Witten-Floer theory and Lagrangian intersections in symplectic topology

Gromov introduced the analytic method of pseudoholomorphic curves into the study of symplectic topology in the mid 80's and then Floer broke the conformal symmetry of the equation by twisting the equation by Hamiltonian vector fields. We sur...
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13. ### High dimensional nonlinear dynamics

In this talk, I am trying to introduce “what is high dimensional chaos” and also my research works in this area.
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14. ### What is model theory?

I will introduce the basic notions of model theory, a branch of mathematical logic, and survey its applications to other areas of mathematics such as analysis, algebra, combinatorics and number theory. If time permits I will present recent w...
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15. ### Essential dimension of simple algebras

The notion of essential dimension was introduced by Buhler and Reichstein in the late 90s. Roughly speaking, the essential dimension of an algebraic object is the minimal number of algebraically independent parameters one needs to define the...
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16. ### Restriction theorems for real and complex curves

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17. ### Recommendation system and matrix completion: SVD and its applications (학부생을 위한 강연)

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18. ### Deformation spaces of Kleinian groups and beyond

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