Title   name
2018 KAIST Math. Colloquium
  Speaker   Ramesh Sreekantan  
  Date 2018-11-08
  Place KAIST
  File  의 1 번째 Real Media 동영상입니다.
Abstract : 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.