일시: 2024년 9월~11월 
장소: KAIST 수리과학과 
조직위원: 곽시종, 박진형, Frank-Olaf Schreyer 
홈페이지: https://sites.google.com/view/kaist-thematic-program-on-syzy/home 

Frank-Olaf Schreyer 교수님께서 9월~10월 2달간 KAIST를 방문하셔서 대학원생과 젊은 연구자들을 대상으로 10회 강연을 하시고 (강연 제목: An experimental and computational approach to algebraic geometry), 10월 17일(목)에는 학과 콜로퀴엄 강연을 하십니다 (강연 제목: Classification of 3-linear varieties of small codimension). Frank-Olaf Schreyer 교수님은 지난 40년간 대수기하학의 발전을 이끌어온 세계적인 석학이십니다. 이번 강연은 대수기하학에 관심있는 대학원생들에게 좋은 기회가 될 것이라 생각합니다. 대학원생들의 많은 관심과 참여 부탁드립니다.
 

Lecture Series

• Frank-Olaf Schreyer (Saarland University)

Title: An experimental and computational approach to algebraic geometry

Abstract: The lecture series gives a view on computational methods and their some applications to existence and classfication problems. In the first lectures I will introduce Groebner basis and their basic applications in commutative algebra such as computing kernel and images of morphism between finitely presented modules over polynomial rings. As a theoretical application of Groebner basis I will give Petri's analysis of the equations of a canonical curve. The second topic will be Computer aided existence and unirationality proofs of algebraic varieties and their moduli spaces. In case of curves liaison theory is needed, which will be developed. For existence proofs random searches over finite fields is a technique that has not been exploited very much. I will illustrate this technique in a number of examples, in particular for the construction of certain surfaces. Classification of non-minimal surfaces uses adjunction theory. We will discuss this from a computational point of view.

Place: Natural Science Building (E6) Room 4415

Schedule: 10:30 AM - 11:30 AM

• September: 5(Thu), 10(Tue), 12(Thu), 19(Thu)

• October: 1(Tue), 15(Tue), 17(Thu), 22(Tue), 24(Thu), 29(Tue)

* 10 times totally

 

Colloquium

• Frank-Olaf Schreyer (Saarland University)

Title: Classification of 3-linear varities of small codimension

Schedule: Oct 17 (Thu) 16:15-17:15

 

Mini-Workshops

• Workshop 1 on Oct 10(Thu)

• 11:00 - 12:00 Daniele Agostini (University of Tübingen)

• • 14:00 - 15:00 Gavril Farkas (Humboldt University of Berlin)

  • 15:30 - 16:30 Kangjin Han (DGIST)

  • 17:00 - 18:00 Michael Kemeny (University of Wisconsin - Madison)

 

• Workshop 2 on Oct 16 (Wed)

  • 11:00 - 12:00 Justin Lacini (Princeton University)

  • 14:00 - 15:00 Hyunsuk Moon (KIAS)

  • 15:30 - 16:30 Claudiu Raicu (University of Notre Dame)

  • 17:00 - 18:00 John Sheridan (Princeton University)

 

Seminars

• Online Lectures

• Sep 6(Fri) 10:30  - 11:30 Daniel Erman (University of Hawaii)

• Sep 13(Fri) 10:30 - 11:30 Steven V Sam (University of California, San Diego)

• Oct 23 (Wed) 16:30 - 17:30 Marian Aprodu (IMAR)

• Oct 30 (Wed) 10:00 - 11:00 Eric Larson (Brown University)

• Korean Participants

• Sep 20(Fri) 11:30 - 12:30 Yeongrak Kim (Pusan National University)

• Oct 2(Wed) 16:30 - 17:30 Jaewoo Jung (IBS-CCG)

• Oct 4(Fri) 10:30 - 11:30 Junho Choe (KIAS)

• Oct 7(Mon) 16:30 - 17:30 Doyoung Choi (KAIST)

• Oct 18(Fri) 10:30 - 11:30 Yonghwa Cho (Gyeongsang National University)