Contemporary Set Theory

"Contemporary Set Theory" is a series of mini-workshops that prioritize content over the traditional focus on results or individual speakers. These workshops highlight futuristic developments in set theory, valuing strength, simplicity, aesthetics, expandability, applicability, sustainability, and extendability. With an emphasis on smooth knowledge transfer, the series is designed to inspire and engage participants at all career stages, fostering a dynamic academic dialogue.”


Structural Reflection and HOD Conjecture

  • Lecturers: Joan Bagaria (slides D1, slides D2, slides D3, slides D4) and Philipp Lücke (slides D1, slides D2, slides D3, slides D4)
  • 24-27 March 2025 in Gdansk.
  • Organizers: Rahman Mohammadpour and Grigor Sargsyan.
  • Location: University of Gdansk. All the lectures will be held in the classrooms S316, S317, and S342 the of building of the Faculty of Social Sciences. The timetable of lectures is found below.
  • Local organizers: Bartosz Wcisło (Institute of Philosophy, UG)


      • Lectures Schedule

      Timetable
      Monday
      (24-03-2025)      		 S316 10:00-11:00 Joan Bagaria Large cardinals beyond Vopenka’s Principle as principles of Structural Reflection (SR). An overview
      11:00-11:30 Break
      11:30-12:30 Philipp Lücke Exacting and Ultraexacting cardinals
      Tuesday
      (25-03-2025)      		 S342 10:00-11:00 Joan Bagaria Exacting and ultraexacting cardinals as SR principles
      11:00-11:30 Break
      11:30-12:30 Philipp Lücke The consistency of exacting and ultraexacting cardinals
      Wednesday
      (26-03-2025)      		 S317 10:00-11:00 Joan Bagaria Exacting and ultraexacting cardinals given by \(\mathrm{I}3\) and \(\mathrm{I}1\) embeddings with Ordinal Definable parameters,
      with some corollaries
      11:00-11:30 Break
      11:30-12:30 Philipp Lücke Consequences of ultraexactness
      Thursday
      (27-03-2025)      		 S317 10:00-11:00 Joan Bagaria The HOD Conjecture and large cardinals beyond Choice
      11:00-11:30 Break
      11:30-12:30 Philipp Lücke A consistency proof from large cardinals beyond choice

      List of Participants

      • Joan Bagaria (University of Barcelona)
      • Jakub Cieplechowicz ( University of Wrocław)
      • Anna Dudziak (Uniwersytet Gdański)
      • Rafał Filipów (University of Gdańsk)
      • Józef Filocha (Uniwersytet Gdański)
      • Tomasz Kaliński (University of Gdańsk)
      • Umutcan Kaya (University of Gdansk/IMPAN)
      • Tomasz Kilian (Uniwersytet Gdański)
      • Olaf Kołodziejski (University of Gdańsk)
      • Jan Kostrzon (University of Warsaw)
      • Małgorzata Kowalczuk (University of Gdansk)
      • Krzysztof Kowitz (University of Gdańsk)
      • Corentin Lagadec (Université Paris Cité)
      • Philipp Lücke (University of Hamburg )
      • Arijeet Mishra (University of Gdansk)
      • Rahman Mohammadpour (IMPAN)
      • Maria Muszyńska (Uniwersytet Gdański)
      • Jonathan Osinski (University of Hamburg)
      • Martyna Pieczka (Uniwersytet Gdański)
      • Otto Rajala (University of Helsinki)
      • Marwan Salam Mohammd (Universitat de Barcelona)
      • Grigor Sargsyan (IMPAN)
      • Cesare Straffelini (Universitat de Barcelona)
      • Sebastiano Thei (IMPAN)
      • Cyryl Tokarczyk (Gdańsk University)
      • Catalina Torres (University of Barcelona)
      • Bartosz Wcisło (University of Gdańsk)

      My Image
      Credit: Rahman Mohammadpour