Abstract: In this talk, we will discuss Noncommutative Poisson Structure which was introduced by Crawley-Boevey and how it fits nicely with Kontsevich-Rosenberg principle. We will also give some examples. If time allows, we will also discuss its relation to Van den Bergh's Double Poisson Algebras.

Abstract: A few years ago I gave a Pizza Seminar talk where I showed how to regularize an infinite sum like $1+2+3+4+5+\cdots$ and show that it is equal to $\frac{-1}{12}$. In this talk I shall discuss a multiplicative version and show how one can regularize infinite products like $1.2.3.4.\cdots$. This topic is intimately related to Riemann's zeta function and its analytic continuation and special values. Some tools of classical analysis like Euler-Maclaurin summation formula will be introduced and used extensively in my talk.