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Extra Form
Lecturer 박진형
Dept. KAIST
date May 18, 2023

 

It is a fundamental problem in algebraic geometry to study equations defining algebraic curves. In 1984, Mark Green formulated a famous conjecture on equations defining canonical curves and their syzygies. In early 2000's, Claire Voisin made a major breakthrough by proving that Green's conjecture holds for general curves. A few years ago, Aprodu-Farkas-Papadima-Raicu-Weyman gave a new proof of Voisin's theorem by studying equations defining tangent developable surfaces, and recently, I obtained a simple geometric proof of their result using equations defining secant varieties. In this talk, I first review the geometry of algebraic curves, and then, I explain the main ideas underlying the recent work on syzygies of algebraic curves and their tangent and secant varieties.

 

Atachment
Attachment '1'
List of Articles
Category Subject Dept. Lecturer
Math Colloquia Quasi-homomorphisms into non-commutative groups file Kyoto Univ. Koji Fujiwara
Math Colloquia Random conformal geometry of Coulomb gas formalism file 서울대학교 강남규
Math Colloquia Random matrices and operator algebras file 서울대학교 수학교육과 윤상균
Math Colloquia Random walks in spaces of negative curvature file Yale Univ. Giulio Tiozzo
Math Colloquia Randomness of prime numbers file 서울대학교 임선희
Math Colloquia Recent progress on the Brascamp-Lieb inequality and applications file Saitama University Neal Bez
Math Colloquia Recommendation system and matrix completion: SVD and its applications (학부생을 위한 강연) file 서울대 전기공학부 정교민
Math Colloquia Regularity for non-uniformly elliptic problems file 경북대학교 오제한
Math Colloquia Regularity theory for non-autonomous elliptic equations in divergence form file 서강대학교 옥지훈
Math Colloquia Restriction theorems for real and complex curves file 포항공과대학교 박종국
Math Colloquia Riemann-Hilbert correspondence for irregular holonomic D-modules file 서울대학교/RIMS Masaki Kashiwara
Math Colloquia Role of Computational Mathematics and Image Processing in Magnetic Resonance Electrical Impedance Tomography (MREIT) file KAIST 이창옥
Math Colloquia Root multiplicities of hyperbolic Kac-Moody algebras and Fourier coefficients of modular forms file Univ. of Connecticut 이규환
Math Colloquia Satellite operators on knot concordance file 건국대학교 김태희
Math Colloquia Seeded Ising Model for Human Iris Templates and Secure Distributed Iris Recognition file 서울대학교 최형인
Math Colloquia Seifert fiberings file University of Oklahoma 이경배
Math Colloquia Seoul ICM 2014 유치과정 개요 및 준비전략 file 포항공과대학교 박형주
Math Colloquia Sheaf quantization of Hamiltonian isotopies and non-displacability problems file Kyoto Univ./서울대학교 Masaki Kashiwara
Math Colloquia Solver friendly finite element methods file Oklahoma State Univ. 구자언
Math Colloquia Space.Time.Noise file Meijo University Takeyuki Hida
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