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* '''When:''' Mondays 3:30-4:30 PM
* '''When:''' Mondays 3:30-4:30 PM
* '''Where:''' Van Vleck 901
* '''Where:''' Van Vleck B235
* '''Organizers:''' Karthik Ravishankar and [https://sites.google.com/wisc.edu/antonio Antonio Nakid Cordero]
* '''Organizer:''' Mariya Soskova


The talk schedule is arranged at the beginning of each semester. If you would like to participate, please contact one of the organizers.
The talk schedule is arranged at the beginning of each semester. If you would like to participate, please contact the organizers.


Sign up for the graduate logic seminar mailing list:  join-grad-logic-sem@lists.wisc.edu
<!--Sign up for the graduate logic seminar mailing list:  [mailto:join-grad-logic-sem@lists.wisc.edu join-grad-logic-sem@lists.wisc.edu]-->


== Spring 2022 ==
== Spring 2025 ==


The graduate logic seminar this semester will be run as MATH 975. Please enroll if you wish to participate.
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 [mailto:soskova@wisc.edu Mariya Soskova].


We plan to cover the first 9 parts of [https://blog.nus.edu.sg/matwong/teach/modelarith/ Tin Lok Wong's notes], as well as a few other relevant topics which are not covered in the notes:
Presentation Schedule: [https://docs.google.com/spreadsheets/d/1uRSaI1edJ5sepz57NV07ohIfBSKL9FgkvJvMAewk1ms/edit?usp=sharing Sign up here.]
* Properness of the induction/bounding hierarchy (chapter 10 of Models of Peano Arithmetic by Kaye is a good source)
* Tennenbaum's theorem (this is a quick consequence of the main theorem of part 4, so it should be combined with part 4 or part 5)
* Other facts found in chapter 1 of [http://homepages.math.uic.edu/~marker/marker-thesis.pdf David Marker's thesis].


=== January 25 - organizational meeting ===
Notes on Higher Computability Theory: [https://uwmadison.box.com/s/j3xftdj1i70d4lblxhzswhg9e25ajcpq Download the notes here.] You will need your UW-login. Please, do not distribute these notes without permission from the author.


We will meet to assign speakers to dates.
<!--Zoom link for remote attendance: https://uwmadison.zoom.us/j/96168027763?pwd=bGdvL3lpOGl6QndQcG5RTFUzY3JXQT09 (Meeting ID: 961 6802 7763, Password: 975f23)-->


=== February 1 - Steffen Lempp ===
=== '''January 27 - Organizational Meeting and Sapir Ben-Shahar''' ===


I will give an overview of the topics we will cover:
Mariya Soskova will call for volunteers to sign up for presentations.


1. the base theory PA^- and the induction and bounding axioms for Sigma_n-formulas, and how they relate to each other,
Sapir Ben-Shahar will wrap up Section 5.1


2. the equivalence of Sigma_n-induction with a version of Sigma_n-separation (proved by H. Friedman),
=== '''February 3 - Taeyoung Em''' ===


3. the Grzegorczyk hierarchy of fast-growing functions,
Taeyoung Em will present Section 5.3.  


4. end extensions and cofinal extensions,
=== '''February 10 -  Hongyu Zhu''' ===


5. recursive saturation and resplendency,
Hongyu Zhu will present Section 5.3


6. standard systems and coded types,
== Fall 2024 ==


7. the McDowell-Specker Theorem that every model of PA has a proper elementary end extension, and
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 [mailto:soskova@wisc.edu Mariya Soskova].


8. Gaifman's theorem that every model of PA has a minimal elementary end extension.
Presentation Schedule: [https://docs.google.com/spreadsheets/d/1ect-dgHdoHOgq4-5BGFiDh6pPThLfDg69Yg__-b_5RY/edit?usp=sharing Sign up here.]


I will sketch the basic definitions and state the main theorems, in a form that one can appreciate without too much
Notes: [https://uwmadison.box.com/s/j3xftdj1i70d4lblxhzswhg9e25ajcpq Download the notes here.] You will need your UW-login. Please, do not distribute these notes without permission from the author.  
background.


=== February 8 - Karthik Ravishankar ===
<!--Zoom link for remote attendance: https://uwmadison.zoom.us/j/96168027763?pwd=bGdvL3lpOGl6QndQcG5RTFUzY3JXQT09 (Meeting ID: 961 6802 7763, Password: 975f23)-->


Title: Collection axioms
=== '''September 9 - Organizational Meeting''' ===


We will discuss parts 1 and 2 of Wong's notes.
Mariya Soskova will start with the first sections from the notes.


=== February 15 - Karthik Ravishankar, Yunting Zhang ===
We will then assign speakers to dates and topics.


Title: Collection axioms/The Weak König Lemma
=== '''September 16 -  Sections 1.2-1.4''' ===


Karthik will finish part 2 of Wong's notes. Then Yunting will start on part 3 of Wong's notes.
Kanav Madhura will continue with Sections 1.2-1.4.  


=== February 22 - Yunting Zhang ===
=== '''September 23 - Sections 1.3-1.4 and 2.1-2.2''' ===


Title: The Weak König Lemma
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.


We will finish part 3 of Wong's notes.
=== '''September 30 -  Sections 2.2 and 2.3-2.5''' ===


=== March 22 - Ang Li ===
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''' ===


Title: The Arithmetized Completeness Theorem
Karthik Ravishankar will  finish, 2.4, and 2.5.  Liang Yu will give a talk at 4:00pm.


We will discuss part 4 of Wong's notes.
=== '''October 14th -  Sections 2.6 and 2.7''' ===


=== March 29 - Ang Li ===
Bjarki Gunnarsson  will present Sections 2.6 and 2.7


Title: The Arithmetized Completeness Theorem
=== '''October 21th -  Section 3.1''' ===


We will finish part 4 of Wong's notes.
Karthik Ravishankar will present Section 3.1 


=== April 5 - Antonio Nákid Cordero ===
=== '''October 28th - Sections 3.2 and 3.3''' ===


Title: Semiregular cuts
Karthik Ravishankar will finish Sections 3.2  and John Spoerl will begin Section 3.3


We will start on part 5 of Wong's notes.
=== '''November 4th -  Sections 3.3 and 3.4''' ===


=== April 12 - Antonio Nákid Cordero/Alice Vidrine ===
John Spoerl will finish Sections 3.3 and 3.4


Title: Semiregular cuts/End and cofinal extensions
=== '''November 11th -  Section 4.1''' ===


We will finish part 5 of Wong's notes and then start on part 6.
Antonion Nakid-Cordero will present Section 4.1


=== April 19 - Alice Vidrine ===
=== '''November 19th - Sections 4.1 and 4.2''' ===


Title: End and cofinal extensions
Start 4:00PM in VV901! Antonion Nakid-Cordero will continue with Section 4.1, Ang Li will begin Section 4.2.


We will finish part 6 of Wong's notes.


=== May 3 - No seminar today ===
=== '''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
 
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=== '''September 18 - xxx''' ===
'''Title:''' TBA ([https://wiki.math.wisc.edu/images/***.pdf Slides])
 
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== Previous Years ==
== Previous Years ==


The schedule of talks from past semesters can be found [[Graduate Logic Seminar, previous semesters|here]].
The schedule of talks from past semesters can be found [[Graduate Logic Seminar, previous semesters|here]].

Latest revision as of 22:31, 22 January 2025

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

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.

Retrieved from "https://wiki.math.wisc.edu/index.php?title=Graduate_Logic_Seminar&oldid=27895"