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.