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 B235
- Organizer: Mariya Soskova
The talk schedule is arranged at the beginning of each semester. If you would like to participate, please contact the organizers.
Spring 2025
The seminar will be run as a 1-credit seminar Math 975. In Spring 2025, we will finish last semester's topic on Higher Computability Theory.Once we are done students will present a logic topic of their choice (it could be original work, but does not have to be). If you are not enrolled but would like to audit it, please contact Mariya Soskova.
Presentation Schedule: Sign up here.
Notes on Higher Computability Theory: Download the notes here. You will need your UW-login. Please, do not distribute these notes without permission from the author.
January 27 - Organizational Meeting and Sapir Ben-Shahar
Mariya Soskova will call for volunteers to sign up for presentations.
Sapir Ben-Shahar will wrap up Section 5.1
February 3 - Taeyoung Em
Taeyoung Em will present Section 5.3.
February 10 - Hongyu Zhu
Hongyu Zhu will present Section 5.3
February 17 - Karthik Ravishankar
Title: Strong minimal covers and the cupping property
Abstract: A longstanding question in degree theory has been whether every minimal Turing degree has a strong minimal cover. Meanwhile a strong example of degrees without SMC's are those which have the cupping property. It is known that PA degrees have the cupping property, as do degrees with a certain amount of escaping power. On the other hand, it is known that being weak in the sense of being non DNC and Hyperimmune-free lets you have a SMC. Degrees with the cupping property are closed upwards while it is not known if degrees with SMC are closed downwards. It is also not known if every degree either has the cupping property or a SMC. In this talk we will review several of these results and present techniques used to build SMCs.
February 24 - Hongyu Zhu
Title: Seeing the forest does not account for the trees
Abstract: Say a first-order theory (or a type) has bounded axiomatization if it has an axiomatization by [math]\displaystyle{ \forall_n }[/math]-formulas for some finite n. In this talk, we will discuss basic properties of theories and types with (or without) bounded axiomatizations, and in particular whether boundedness of theories implies that of types. (The meaning of the title will be explained in due time.)
March 3 - Uri Andrews
Title: On the spectra of computable models of disintegrated strongly minimal theories with bounded ranks
Abstract: The spectrum of a strongly minimal theory characterizes which of its countable models have computable copies (indexed by their dimensions). We will focus on the disintegrated strongly minimal theories, i.e., where the algebraic closure of a set is the union of the algebraic closures of the elements of the set.
Somewhere in the late aughts, Alice Medvedev and I proved that if a theory is disintegrated strongly minimal and has a finite signature, then either all models are computable, no models are computable, or only the prime model is computable. Steffen Lempp and I tried to push this sort of analysis past finite signatures and we have results about theories which are disintegrated strongly minimal and every symbol in the (infinite) signature has rank less than or equal to 1 in the theory (i.e., you cannot have R(a,b,\bar{z}) if a and b are algebraically independent). Over this past winter break, I found a strategy to bring (some of) this analysis to strongly minimal theories in infinite languages as long as there is some finite N so that every symbol has rank less than or equal to N. I'll describe this strategy, and depending on time, I might even present something that loosely resembles a proof.
March 10 - Logan Heath
Title: tba
Abstract: tba
March 17 - Yiqing Wang
Title: tba
Abstract: tba
March 31 - Chiara Travesset
Title: tba
Abstract: tba
Fall 2024
The seminar will be run as a 1-credit seminar Math 975 . In Fall 2024, the topic will be Higher Computability Theory. We will follow notes by Noam Greenberg. If you are not enrolled but would like to audit it, please contact Mariya Soskova.
Presentation Schedule: Sign up here.
Notes: Download the notes here. You will need your UW-login. Please, do not distribute these notes without permission from the author.
September 9 - Organizational Meeting
Mariya Soskova will start with the first sections from the notes.
We will then assign speakers to dates and topics.
September 16 - Sections 1.2-1.4
Kanav Madhura will continue with Sections 1.2-1.4.
September 23 - Sections 1.3-1.4 and 2.1-2.2
Kanav Madhura will continue with Sections 1.3-1.4. Lucas Duckworth will be ready with Sections 2.1 and 2.2 should there be time.
September 30 - Sections 2.2 and 2.3-2.5
Lucas Duckworth will finish Section 2.2. Karthik Ravishankar will begin 2.3, 2.4, and 2.5.
October 7th - Sections 2.4 and 2.5
Karthik Ravishankar will finish, 2.4, and 2.5. Liang Yu will give a talk at 4:00pm.
October 14th - Sections 2.6 and 2.7
Bjarki Gunnarsson will present Sections 2.6 and 2.7
October 21th - Section 3.1
Karthik Ravishankar will present Section 3.1
October 28th - Sections 3.2 and 3.3
Karthik Ravishankar will finish Sections 3.2 and John Spoerl will begin Section 3.3
November 4th - Sections 3.3 and 3.4
John Spoerl will finish Sections 3.3 and 3.4
November 11th - Section 4.1
Antonion Nakid-Cordero will present Section 4.1
November 19th - Sections 4.1 and 4.2
Start 4:00PM in VV901! Antonion Nakid-Cordero will continue with Section 4.1, Ang Li will begin Section 4.2.
November 25th - Sections 4.2 and 4.3
Back to the usual time and place. Ang Li will begin Section 4.2.
December 2nd - Section 4.3
Ang Li will present Section 4.3.
December 9nd - Section 5.1
Last seminar for this semester. Sapir Ben-Shahar will begin Section 5.1
Previous Years
The schedule of talks from past semesters can be found here.