Graduate Logic Seminar
The Graduate Logic Seminar is an informal space where graduate students and professors present topics related to logic which are not necessarily original or completed work. This is a space focused principally on practicing presentation skills or learning materials that are not usually presented in a class.
- When: Mondays 3:30-4:30 PM
- Where: Van Vleck B223
- Organizers: Steffen Lempp and Hongyu Zhu
The talk schedule is arranged at the beginning of each semester. If you would like to participate, please contact one of the organizers.
Sign up for the graduate logic seminar mailing list: join-grad-logic-sem@lists.wisc.edu
Spring 2024
The seminar will be run as a 1-credit seminar Math 975 . In Spring 2024, the topic will be forcing constructions in computability theory. If you are not enrolled but would like to audit it, please contact Steffen Lempp and Hongyu Zhu.
Presentation Schedule: https://docs.google.com/spreadsheets/d/1JC6glG_soNLtaMQWaAuADlUu8dh2eJ0NL-MaUr7-nOk/edit?usp=sharing
Zoom link for remote attendance: https://uwmadison.zoom.us/j/96168027763?pwd=bGdvL3lpOGl6QndQcG5RTFUzY3JXQT09 (Meeting ID: 961 6802 7763, Password: 975f23)
January 29 - Organizational Meeting
Steffen Lempp will give an overview and present some very basic forcing construction.
We will then assign speakers to dates and topics.
February 5 - Taeyoung Em
Title: Introduction to forcing
Abstract: We introduce new definitions and properties regarding forcing.
February 12 - Hongyu Zhu
Title: Slaman-Woodin Forcing and the Theory of Turing Degrees
Abstract: We will discuss how to use Slaman-Woodin forcing to interpret true second(first, resp.)-order arithmetic in the Turing degrees (Turing degrees below 0', resp.), thereby showing they have the same Turing degree.
February 19 - John Spoerl
Title: Forcing with Trees - Spector's and Sack's Minimal Degrees
Abstract: We'll take a look at Spector's forcing which uses perfect trees as conditions. Then we'll see where we might make some improvements which leads to Sack's sharpening of Spector's theorem: there is a minimal degree below 0'.
February 26 - Karthik Ravishankar
Title: The 3 element chain as an initial segment of the Turing Degrees
Abstract: In this talk, we'll look at the construction of a minimal degree with a strong minimal cover which shows that the three-element chain can be embedded as an initial segment of the Turing Degrees. The construction builds off ideas of Spector's minimal degree with stronger assumptions on the forcing conditions used. If time permits, we'll also talk about Copper's Jump Inversion building off Sack's construction.
Previous Years
The schedule of talks from past semesters can be found here.