WEEKLY ACTIVITIES

On the dimensions of alternating MZV's in positive characteristic
Speaker: Phạm Lan Hương

Time: 9:30 - 11:00, Wednesday April 27, 2022

Abstract: Multiple zeta values (MZV’s) are positive real numbers investigated by Euler in the late eighteenth century. Surprisingly, these numbers are ubiquitous in many mathematical and physical theories such as number theory, mixed Tate motives, and quantum field theory. There exist alternating multiple zeta values (AMZV’s) which are certain generalizations of these values. They were studied by Broadhurst, Deligne–Goncharov, Glanois, Hoffman, Kaneko–Tsumura among others.

By a well-known analogy between the arithmetic of number fields and that of function fields of positive characteristic, Thakur introduced a theory of positive characteristic multiple zeta values associated to the projective line in 2004. Harada then developed a theory of AMZV’s in the same setting. In this talk, we will explain our recent developments of this theory. This is a joint work with Im Bo-Hae, Kim Hojin and Ngo Dac Tuan.

Venue: Room 612, A6, Institute of Mathematics, VAST


Online: https://meet.google.com/esi-huxm-xqg

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