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Speaker:

Ralph Martin Kaufmann
Affiliation:

Purdue University, West Lafayette/MPIM
Date:

Thu, 2019-07-25 15:00 - 16:00
Location:

MPIM Lecture Hall
Parent event:

MPI-Oberseminar We will discuss how simplicial and categorical structures lead to Hopf algebras.

In particular, we will focus on Joyal duality to give a simple explanation of the co-product given by Goncharov

for multi-zeta values and its graphical depiction. In this setting, co-actions also appear naturally. We further show that

his type of Hopf algebracomes from a categorical setup, where the product is a monoidal product and the co-product is

dual to the partial productthat is given by composition of morphisms, providing a simple "raison d'être" for these

"prima vista" complicated co-products. In this setting, we see the analogous structure of the Hopf algebra of Goncharov

and those of Connes and Kreimer.

his type of Hopf algebracomes from a categorical setup, where the product is a monoidal product and the co-product is

dual to the partial productthat is given by composition of morphisms, providing a simple "raison d'être" for these

"prima vista" complicated co-products. In this setting, we see the analogous structure of the Hopf algebra of Goncharov

and those of Connes and Kreimer.

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