Good moduli spaces for Artin stacks -- Jarod Alper, September 12, 2008

<p>

I will introduce the concept of good moduli spaces for Artin stacks, which     
generalizes Mumford's geometric invariant theory of quotients of schemes by    
linearly reductive groups.  Moduli stacks parameterizing objects with          
infinite automorphisms (eg. semi-stable vector bundles) often do not admit     
coarse moduli spaces but may admit good moduli spaces by identifying           
certain non-isomorphic objects.  Some time will be devoted to                  
characteristic p phenomena, including Haboush's theorem and the notion of      
geometrically reductive group schemes.  Applications to the construction of    
moduli spaces will be discussed.