Graduate Operated Set Theory Seminar (GOSTS)

Monday 11:30 AM, Hill 701

Spring 2025

• 3/31, Benzi
Namba Forcing, Approximation, and Preservation

• 3/24, Benzi
The First Failure of the GCH

• 3/17 Spring Break

• 3/10, Danae
Turbulent Equivalence Relations

• 3/3, Fanxin
Some Results on Higher Projective Sets

• 2/24, Benzi
Jensen's Diamond on Trees, Ultrafilters, and Small Ultrapowers

• 2/17, Danae
Basics of Polish Spaces

• 2/10, Fanxin
Coherent Sequences and Special Trees

• 2/3, Benzi
The Kunen Inconstistency and Limitations of Embeddings of V

Fall 2024

• 12/2, Danae
(Non)Smooth Equivalence Relations

• 11/25, Fanxin
Foreman's Duality Theorem and Applications

• 11/18, Benzi
Preciptious Ideals and the Core Model

• 11/11, Benzi
Failure of GCH at Large Cardinals

• 11/4, Benzi
The Tree Property on Small Cardinals

• 10/28, Danae
Borel Graph Colorings

• 10/21, Fanxin
Generators of the Fundamental Group of a Semi-Locally Simply Connected Compact Metric Space

• 10/14, Benzi
Singular Cardinals and Stationary Reflection

• 10/7, Danae
Dichotomy Theorems in Descriptive Set Theory

• 9/30, Benzi
Magidor Iteration, Distributive Forcings, and The Sigma_2 Potentialist Principle

• 9/23, Benzi
Supercompact Prikry Forcing

• 9/16, Fanxin
History and Properties of Analytic Sets

• 9/9, Benzi
Forcing Crash Course