They are generally affine Springer fibers. However in type A, the compactified Jacobians can be introduced directly in terms of plane curve singularities; they are projective connected varieties, which will be explained and extended to any ranks. Their conjectural relation to the L-functions of such singularities will be the main topic. The corresponding motivic superpolynomials can be used to define certain refined rho-invariants of algebraic knots. There are many interesting questions here. We will discuss what is known now and what can be expected.

This seminar is a hybrid meeting.
Zoom Meeting ID：832 8055 2567, Passcode : 513212