Title: On a polynomial basis for MZV’s in positive characteristic Abstract: We recall the notion of the stuffle algebra and review known results for this algebra in characteristic 0. Then, we construct a polynomial basis for the stuffle algebra over a field in positive characteristic. As an application, we determine the transcendence degree for multiple zeta values in positive characteristic for small weights. This is joint work with Nguyen Chu Gia Vuong and Pham Lan Huong

I will begin by a brief introduction to anabelian geometry. In particular, I will try to explain the distinction between "bi-" and "mono-anabelian" reconstruction. Then I review some of the known (elementary) mono-anabelian reconstruction of invariants of mixed characteristic local fields. Finally, I will explain my (on-going) trial of the mono-anabelian reconstruction of fundamental character and Lubin-Tate character.