# Kappa-Suslin sets and the perfect set property I.

## Speaker:

May Mei

## Institution:

UCI

## Time:

Monday, February 8, 2010 - 3:00pm

## Location:

RH 440R

May Mei

UCI

Monday, February 8, 2010 - 3:00pm

RH 440R

Monroe Eskew

UCI

Monday, January 25, 2010 - 4:30pm

RH 440R

Andres Forero

UCI

Monday, January 25, 2010 - 3:00pm

RH 440R

Monroe Eskew

UCI

Monday, January 11, 2010 - 4:30pm

RH 440R

Forero Andres

UCI

Monday, January 11, 2010 - 3:00pm

RH 440R

Nam Trang

UC Berkeley

Monday, January 4, 2010 - 3:00pm

RH 440R

The Continuum Problem, or Hilbert's first problem, asks whether the Continuum Hypothesis is true. It's arguably the most famous unsolved

problem from Hilbert's list. In this talk, I'll present recent progress made in set theory related to the Continuum Problem.

I'll point out the metamathematical significance of the Continuum Hypothesis through a

stunning theorem of Hugh Woodin which roughly states that the Continuum Hypothesis is a universal \Sigma^2_1 statement for generic absoluteness. If time permits, I'll talk about \Omega-logic, a strong logic used to analyze truth in the structure (H(\omega_2), \in) which could settle the Continuum Problem.

Monroe Eskew

UCI

Monday, November 16, 2009 - 4:30pm

RH 440R

May Mei

UCI

Monday, November 16, 2009 - 3:00pm

RH 440R

Monroe Eskew

UCI

Monday, November 2, 2009 - 4:30pm

RH 440R

May Mei

UCI

Monday, November 2, 2009 - 3:00pm

RH 440R