Weakly holomorphic modular forms with sign vectors and applications
Time: 2015-10-27
Published By:
Speaker(s): Yichao Zhang（张毅超），哈尔滨工业大学.
Time: 00:00-00:00 October 27, 2015
Venue: 全9
时间：10月27号下午4点-6点
Speaker: Yichao Zhang（张毅超），哈尔滨工业大学
Title: Weakly holomorphic modular forms with sign vectors and applications
Abstract: In this talk, we first introduce weakly holomorphic modular forms with sign vectors and show an isomorphism between scalar-valued and vector-valued modular forms. This was motivated by Borcherds lift and can be applied to simplify Borcherds lift (also known as Borcherds automorphic product). We then show some of the full-level properties of such modular forms, including the Zagier duality and a divisibility result. In the end, we move on to a joint work with H. H. Kim and K.-H. Lee on automorphic correction. To save time and to avoid some technicalities, this last part on automorphic correction will be a little sloppy.
Speaker: Yichao Zhang（张毅超），哈尔滨工业大学
Title: Weakly holomorphic modular forms with sign vectors and applications
Abstract: In this talk, we first introduce weakly holomorphic modular forms with sign vectors and show an isomorphism between scalar-valued and vector-valued modular forms. This was motivated by Borcherds lift and can be applied to simplify Borcherds lift (also known as Borcherds automorphic product). We then show some of the full-level properties of such modular forms, including the Zagier duality and a divisibility result. In the end, we move on to a joint work with H. H. Kim and K.-H. Lee on automorphic correction. To save time and to avoid some technicalities, this last part on automorphic correction will be a little sloppy.
