# Seminars

Here one can find (mostly) all of my seminars, divided by topic.

I apologize that many are not in handout mode, in the future I'll try to settle this. Also, it is possible that there are mathematical errors in some, especially if they are the less recent copy. I put many different copies because sometimes the later ones are more reliable, but more synthetic, so it's good to have an archive with everything. It also gives an idea on how the research evolved.

## Generalized Descriptive Set Theory on singular cardinals

1. Generalized Descriptive Set Theory under I0,  Cantor meets Robinson. Set Theory, Model
Theory and their Philosophy, Campinas, Brazil, 13 December 2018.
2. Generalized Descriptive Set Theory under I0, UMI-SIMAI-PTM Joint Meeting 2018, Wroc law,
Poland, 19 September 2018.
3. Silver Dichotomy for countable cofinalities,  Set theory today. A conference in honor of
Georg Cantor, Vienna, Austria, 11 September 2018
4. Silver Dichotomy for countable cofinalities,  KNAW Academy Colloquium “Generalised Baire
Spaces”, Amsterdam, The Netherlands, 24 August 2018

## The iterability hierarchy above I3

1. The iterability hierarchy above I3, Kurt Gödel Research Center, Vienna, 3 May 2018.

## Introduction to large cardinals

1. Large cardinals in mathematics and infinite combinatorics, Università degli studi di Udine, 20 April 2016
2. Large cardinals in mathematics and infinite combinatorics, Politecnico di Torino, 11 November 2015

## LD algebras beyond I0

1. Left distributive algebras beyond I0, RIMS Set Theory Workshop, Kyoto, Japan, 6 November 2018.
2. Left distributive algebras beyond I0, XXVII incontro dell’Associazione Italiana di Logica e sue Applicazioni, Padova, 25 September 2017

## Generic I0

1. Generic I0 at $\aleph_\omega$, Beijing Normal University, 13 May 2016
2. Generic I0 at $\aleph_\omega$, DMV-Jahrestagung 2015, Set Theory Minisymposium, Hamburg, 23 September 2015
3. Quando $\aleph_\omega$ è un potente grande cardinale (generico) (in Italian), XX Congresso dell'Unione Matematica Italiana, Siena, 8 September 2015
4. Generic I0 at $\aleph_\omega$, 5th European Set Theory Conference, Cambridge, 25 August 2015
5. Generic I0 at $\aleph_\omega$, Sets and Computations programme, Singapore, 9 April 2015
6. Generic I0 at $\aleph_\omega$, CUNY Graduate Center, 25 Match 2015
7. Generic I0 at $\aleph_\omega$, Kurt Göodel Research Center, Vienna, 19 March 2015

## Very large cardinals and combinatorics

1. Very large cardinals and combinatorics, Chinese Mathematical Logic Conference, Shanghai, 21 May 2016
2. Very large cardinals and combinatorics, Workshop on Mathematical Logic on the Occasion of Sakae Fuchino’s 60th Birthday, Kobe, 19 November 2014
3. Very large cardinals and combinatorics, XXV incontro dell’Associazione Italiana di Logica e sue Applicazioni, Pisa, 15 April 2014
4. Rank-to-rank hypotheses and the failure of GCH, INFTY Final conference, Bonn, 4 March 2014
5. The power function and large cardinals, Beijing Normal University, 25 October 2013
6. Very large cardinals and the failure of GCH, RIMS Set Theory Workshop, Kyoto, 11 September 2013
7. Very large cardinals and the power function, ESF Fourth Set Theory Conference, Mon st Benet, 18 July 2013
8. Rank-to-rank hypotheses and the failure of GCH, Prague-Wien Meeting, Vienna, 20 June 2012
9. Forcing and very large cardinals: DOs and DON'Ts, FWF/JSPS joint seminar on Forcing in Set Theory, Kobe, 27 January 2012

## Elementary embeddings beyond I0

1. Beyond I0, Chinese Academy of Science, 23 October 2013
2. Insiemi Icaro ed immersioni elementari (in Italian), XIX Congresso dell'Unione Matematica Italiana, Bologna, 16 September 2011
3. Very large cardinal and elementary embeddings properties, Logic Colloquium, Barcelona, 15 July 2011
4. Higher Determinacy Axioms, Academy of Sciences, Czech Republic, 17 September 2010
5. Non-proper elementary embeddings beyond $L(V_{\lambda+1})$, Kurt Göodel Research Center, Vienna, 25 March 2010
6. Immersioni elementari non proprie oltre $L(V_{\lambda+1})$ (in Italian), PhD defense, Università degli studi di Torino, 2 February 2010
7. Immersioni elementari non proprie oltre $L(V_{\lambda+1})$ (in Italian), Università degli studi di Torino, 26 January 2010
8. Non proper elementary embeddings beyond $L(V_{\lambda+1})$, ESI Workshop on large cardinals and descriptive set theory, Vienna, 19 June 2009
9. Immersioni elementari non proprie oltre $L(V_{\lambda+1})$ (in Italian) Università degli studi di Udine, 19 June 2009

## History of Set Theory

1. Peano e Cantor (in Italian), Università degli studi di Torino, 1 June 2009