MATH 507 Model Theory II

Spring 2017

1/10 DCC in omega-stable groups, superstable and stable generalizations, applications of DCC.
Read Marker 7.1
1/12 Connected components, stabalizers of types
1/17 generic types
Read Marker 7.2
1/19 Macintyre's Theorem, Reineke's Theorem
1/24 Zilber's Indecomposability Theorem
Read Marker 7.3
1/26 Zilber's field theorem
1/31 No Class
2/2 Finding a field in a solvable group with finite center
2/7 A connected group of rank 2 is solvable.
Read Poizat's stable groups or Cherlin's original paper.
2/9 type definable groups
Read Marker 7.5.
2/14 generically presented groups
2/16 binding groups
Read Tent Ziegler 10.1
2/21 NO CLASS
2/23 geometry of strongly minimal sets
Read Marker 8.1

Last revised: 1/11/17