Difference between revisions of "Graduate Logic Seminar"

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The Graduate Logic Seminar is an informal space where graduate student and professors present topics related to logic which are not necessarly 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.
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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.
  
* '''When:''' Mondays 4p-5p
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* '''When:''' Tuesdays 4-5 PM
* '''Where:''' TBD.
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* '''Where:''' Van Vleck 901
* '''Organizers:''' [https://www.math.wisc.edu/~omer/ Omer Mermelstein]
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* '''Organizers:''' [https://www.math.wisc.edu/~jgoh/ Jun Le Goh]
  
 
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 one of the organizers.
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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:  join-grad-logic-sem@lists.wisc.edu
  
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== Spring 2022 ==
  
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The graduate logic seminar this semester will be run as MATH 975. Please enroll if you wish to participate.
  
== Fall 2019 - Tentative schedule ==
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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:
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* Properness of the induction/bounding hierarchy (chapter 10 of Models of Peano Arithmetic by Kaye is a good source)
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* 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)
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* Other facts found in chapter 1 of [http://homepages.math.uic.edu/~marker/marker-thesis.pdf David Marker's thesis].
  
=== September 5 - Organizational meeting ===
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=== January 25 - organizational meeting ===
  
=== September 9 - No seminar ===
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We will meet to assign speakers to dates.
  
=== September 16 - Daniel Belin I ===
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=== February 1 - Steffen Lempp ===
  
=== September 23 - Daniel Belin II ===
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I will give an overview of the topics we will cover:
  
=== September 30 - Josiah Jacobsen-Grocott I - Date may change ===
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1. the base theory PA^- and the induction and bounding axioms for Sigma_n-formulas, and how they relate to each other,
  
=== October 7 - Josiah Jacobsen-Grocott II ===
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2. the equivalence of Sigma_n-induction with a version of Sigma_n-separation (proved by H. Friedman),
  
=== October 14 - Tejas Bhojraj I - Date may change ===
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3. the Grzegorczyk hierarchy of fast-growing functions,
  
=== October 21 - Tejas Bhojraj II - Date may change ===
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4. end extensions and cofinal extensions,
  
=== October 28 - Two short talks ===
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5. recursive saturation and resplendency,
Speakers TBD
 
  
=== November 4 - Two short talks ===
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6. standard systems and coded types,
Speakers TBD
 
  
=== November 11 - Manlio Valenti I ===
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7. the McDowell-Specker Theorem that every model of PA has a proper elementary end extension, and
  
=== November 18 - Manlio Valenti II ===
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8. Gaifman's theorem that every model of PA has a minimal elementary end extension.
  
=== November 25 - Two short talks ===
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I will sketch the basic definitions and state the main theorems, in a form that one can appreciate without too much
Speakers TBD
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background.
  
=== December 2 - Iván Ongay Valverde I ===
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=== February 8 - Karthik Ravishankar ===
  
=== December 9 - Iván Ongay Valverde II ===
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Title: Collection axioms
  
==Previous Years==
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We will discuss parts 1 and 2 of Wong's notes.
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== 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]].

Revision as of 19:06, 25 January 2022

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
  • Where: Van Vleck 901
  • Organizers: Jun Le Goh

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 2022

The graduate logic seminar this semester will be run as MATH 975. Please enroll if you wish to participate.

We plan to cover the first 9 parts of Tin Lok Wong's notes, as well as a few other relevant topics which are not covered in the notes:

  • 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 David Marker's thesis.

January 25 - organizational meeting

We will meet to assign speakers to dates.

February 1 - Steffen Lempp

I will give an overview of the topics we will cover:

1. the base theory PA^- and the induction and bounding axioms for Sigma_n-formulas, and how they relate to each other,

2. the equivalence of Sigma_n-induction with a version of Sigma_n-separation (proved by H. Friedman),

3. the Grzegorczyk hierarchy of fast-growing functions,

4. end extensions and cofinal extensions,

5. recursive saturation and resplendency,

6. standard systems and coded types,

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

8. Gaifman's theorem that every model of PA has a minimal elementary end extension.

I will sketch the basic definitions and state the main theorems, in a form that one can appreciate without too much background.

February 8 - Karthik Ravishankar

Title: Collection axioms

We will discuss parts 1 and 2 of Wong's notes.

Previous Years

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