기초과학VOD

BASIC SCI VOD

  •   >  
  • 연구동향
  •   >  
  • 기초과학VOD
Super Title 2018 KAIST Math. Colloquium
Title Modular forms and higher Chow cycles
Speaker Ramesh Sreekantan  (  Indian Statistical Institute, Bangalore  ) Date 2018-11-08
Host KAIST Place KAIST
VOD    
Gross and Zagier made a conjecture on the algebraicity of values of certain `higher' Greens functions at special points. Mellit proved a few cases by linking it to the existence of certain higher Chow cycles. Viazovska proved a few cases by linking it to Borcherds lifts of modular forms. We formulate a conjecture linking modular forms and higher Chow cycles which relates the two approaches and also describe a construction of higher Chow cycles which allows us to prove special cases of the Gross-Zagier conjecture as well as provide evidence for our conjecture.

이 페이지에서 제공하는 정보에 만족하십니까?