About:

This workshop and conference are set to launch a series of thematic events focused on "Moduli Spaces." The program has two main aims: first, to introduce graduate students to the subject, and second, to bring together researchers from different but intrinsically related fields, fostering potential collaborations.

In this program we will cover a wide range of topics related to the geometry of various moduli spaces, including certain Hilbert schemes, the moduli stack of $G$-bundles over a curve, the Hecke stack, moduli spaces/stacks for Higgs bundles, moduli of curves, certain Shimura varieties, moduli stacks for $G$-shtukas, and Rapoport-Zink spaces. These spaces/stacks are significant from different perspectives, spanning from the arithmetic Langlands program over number fields to Gauge theory. Moreover, we will have a particular interest in the cohomology of the aforementioned spaces, as well as their theory of algebraic cycles. Although considerable efforts have been made, leading to significant progress in this direction over the last few decades, there remains substantial scope for further investigation.