Graduate Logic Seminar: Difference between revisions

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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.
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:''' Tuesdays 4-5 PM
* '''When:''' Mondays 3:30-4:30 PM
* '''Where:''' Van Vleck 901
* '''Where:''' Van Vleck B123
* '''Organizers:''' [https://www.math.wisc.edu/~jgoh/ Jun Le Goh]
* '''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 ==
== Fall 2024 ==


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 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].


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/1ect-dgHdoHOgq4-5BGFiDh6pPThLfDg69Yg__-b_5RY/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: [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 ===
=== '''September 9 - Organizational Meeting''' ===


I will give an overview of the topics we will cover:
Mariya Soskova will start with the first sections from the notes.


1. the base theory PA^- and the induction and bounding axioms for Sigma_n-formulas, and how they relate to each other,
We will then assign speakers to dates and topics.


2. the equivalence of Sigma_n-induction with a version of Sigma_n-separation (proved by H. Friedman),
=== '''September 16 -  Sections 1.2-1.4''' ===


3. the Grzegorczyk hierarchy of fast-growing functions,
Kanav Madhura will continue with Sections 1.2-1.4.


4. end extensions and cofinal extensions,
=== '''September 23 -  Sections 1.3-1.4 and 2.1-2.2''' ===


5. recursive saturation and resplendency,
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.


6. standard systems and coded types,
=== '''September 30 -  Sections 2.2 and 2.3-2.5''' ===


7. the McDowell-Specker Theorem that every model of PA has a proper elementary end extension, and
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''' ===


8. Gaifman's theorem that every model of PA has a minimal elementary end extension.
Karthik Ravishankar will  finish, 2.4, and 2.5.  Liang Yu will give a talk at 4:00pm.


I will sketch the basic definitions and state the main theorems, in a form that one can appreciate without too much
=== '''October 14th -  Sections 2.6 and 2.7''' ===
background.


=== February 8 - Karthik Ravishankar ===
Bjarki Gunnarsson  will present Sections 2.6 and 2.7


Title: Collection axioms
=== '''October 21th -  Section 3.1''' ===


We will discuss parts 1 and 2 of Wong's notes.
Karthik Ravishankar will present Section 3.1


=== February 15 - Karthik Ravishankar, Yunting Zhang ===
=== '''October 28th - Sections 3.2 and 3.3''' ===


Title: Collection axioms/The Weak König Lemma
Karthik Ravishankar will finish Sections 3.2  and John Spoerl will begin Section 3.3


Karthik will finish part 2 of Wong's notes. Then Yunting will start on part 3 of Wong's notes.
=== '''November 4th -  Sections 3.3 and 3.4''' ===


=== February 22 - Yunting Zhang ===
John Spoerl will finish Sections 3.3 and 3.4


Title: The Weak König Lemma
=== '''November 11th -  Section 4.1''' ===


We will finish part 3 of Wong's notes.
Antonion Nakid-Cordero will present Section 4.1


=== March 22 - Ang Li ===
=== '''November 19th - Sections 4.1 and 4.2''' ===


Title: The Arithmetized Completeness Theorem
Start 4:00PM in VV901! Antonion Nakid-Cordero will continue with Section 4.1, Ang Li will begin Section 4.2.


We will discuss part 4 of Wong's notes.
<!-- Template


=== March 29 - Ang Li ===
=== '''September 18 - xxx''' ===
'''Title:''' TBA ([https://wiki.math.wisc.edu/images/***.pdf Slides])


Title: The Arithmetized Completeness Theorem
'''Abstract:''' TBA


We will finish part 4 of Wong's notes.
-->
 
=== April 5 - Antonio Nákid Cordero ===
 
Title: Semiregular cuts
 
We will start on part 5 of Wong's notes.
 
=== April 12 - Antonio Nákid Cordero/Alice Vidrine ===
 
Title: Semiregular cuts/End and cofinal extensions
 
We will finish part 5 of Wong's notes and then start on part 6.


== 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 19:37, 18 November 2024

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 B123
  • Organizer: Mariya Soskova

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

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.


Previous Years

The schedule of talks from past semesters can be found here.

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