RTG seminar
The Thursday morning seminar (10:1511:45 in WSCNU3.05) will be the “Research Training Group Seminar” where members of the RTG (PhD students, postdocs,…) present their results. Sometimes, we also have speakers from other places. Depending on the number of speakers and on the proposed topic, a speaker could use one or two sessions.
Termin  Vortragende*r  Titel  onsite / online 

14.4.2022  Andreas Nickel  Some topological dynamical systems of numbertheoretic origin  onsite 
21.4.2022  Joachim Hilgert (Paderborn)  QuantumClassical correspondences  onsite 
12.5.2022  Nicolas Dupré  Model categories and pro$p$ IwahoriHecke modules I  onsite 
19.5.2022  Nicolas Dupré  Model categories and pro$p$ IwahoriHecke modules II  onsite 
2.6.2022  Xucheng Zhang  Characterization of open substacks that admit good moduli spaces  onsite 
9.6.2022  

canceled 
23.6.2022  Jarod Alper  Tannaka duality for algebraic stacks  onsite 
30.6.2022  Jarod Alper  Equivariant Artin algebraization and local structure theorems  onsite 
7.7.2022  Jarod Alper  Existence of moduli spaces  onsite 
14.7.2022  Jarod Alper  Applications to the moduli of vector bundles on a curve  onsite 
Xucheng Zhang: Characterization of open substacks that admit good moduli spaces, June 2, 2022
For an algebraic stack arising from a moduli problem in algebraic geometry, usually one can find some open substack that admits a (proper) good moduli space, via introducing suitable stability criteria with the help of educatedguessing. However, it would be also interesting to find all open substacks of the algebraic stack that admit proper good moduli spaces. In this talk we provide two examples where all such open substacks can be characterized:
1. Moduli stack of rank 2 vector bundles over a curve.
2. Quotient stack by $\mathbb G_m$.
A major ingredient of the proof is the recent work of Jarod Alper, Daniel HalpernLeistner and Jochen Heinloth on the existence of good moduli spaces for algebraic stacks.