How many groups of order n are there, up to isomorphism? And what about quasigroups, semigroups, and other types of algebraic structures? Why the combinatorial explosion for quasigroups and semigroups, and not for groups? Or, actually, what is the true asymptotic behavior behind enumeration of groups? I will show some number series. I will briefly discuss enumeration methods. I will start with a brief overview of classical results on groups. In the second half of the talk, I will turn to the class of quandles, which provides an exciting playground for various types of enumeration methods.
Enumeration of groups and quandles
Tue, Jan. 27 5pm (Math 350)
Math Club
Siddhant Agrawal
X
The Navier Stokes equation is a partial differential equation that describes the motion of viscous fluids. It arises naturally in engineering and other scientific fields. In this talk, we'll derive the Navier Stokes equation and discuss some of its basic properties. We'll also discuss the famous Millennium Prize Problem concerning the Navier Stokes equation. Note: The recommended prerequisite for this talk is Calculus 3, but all are welcome!
Enumeration of groups and quandles