Abstract: We say that a finite group $G$ is realizable if $G$ is the group of units of some finite ring $R$. It remains an open question precisely which groups are realizable, even if we restrict to commutative rings. We will discuss what is known about this problem, general approaches, and, time permitting, recent results (joint with Nicholas Werner) about the realizability of 2-groups.
4/18 | Eric Swartz | Which finite groups are unit groups of finite rings? |
4/11 | Pierre Clare | Hilbert modules and applications, III |
4/04 | No talk | |
3/28 | Gabriel Martins (UC Berkeley) | A topological approach to magnetic confinement |
3/21 | Vladimir Bolotnikov | On degree-constrained and norm-constrained interpolation problems, II |
$\pi^{19}$ | Jamison Barsotti | The double Burnside ring |
3/07 | Spring Break | |
2/28 | Vladimir Bolotnikov | On degree-constrained and norm-constrained interpolation problems, I |
2/21 | Ryan Vinroot | Some results and a conjecture on finite simple groups |
2/14 | Rob Carman | Introduction to biset functors |
2/07 | Pierre Clare | Hilbert modules and applications, II |
1/31 | Pierre Clare | Hilbert modules and applications, I |