LSU Virtual Seminar in Order, Algebra, Logic, and Real Algebraic Geometry

Organizers:

Seminar: Topics include l-groups, f-rings, conjunctive join semi-lattices, and frames and locales.

New time (starting September 2, 2020): Wednesdays, 3:30-5:00, central U.S. time (July 2019- ).

Link: https://zoom.us/j/630083018

Short course: On the Yosida Representation Theorem: Classical and Point-free Versions (Madden).

Time: 9:00-10:00 AM, central U.S. time, Tuesdays, June 9-August 18, 2020.

Link: https://us02web.zoom.us/j/9504584395

  1. June 9, 2020: Introduction to Abelian l-Groups (Lecture1(2020-06-09).pdf; Exercises and Solutions-1.pdf).
  2. June 16, 2020: The Yosida Space and Hölder's Theorem (Lecture2(2020-06-16).pdf).
  3. June 23, 2020: The Yosida Representation (Lecture3(2020-06-23).pdf).
  4. June 30, 2020: Applications: Archimedian l-Groups with Strong Unit (Lecture4(2020-06-30).pdf).
  5. July 7, 2020: Frames and Locales: Frames by Generators and Relations; The Spectrum of an l-Group (Lecture5(2020-07-07).pdf).
  6. July 14, 2020: Relative Uniform Convergence and the Yosida Locale (Lecture6(2020-07-14).pdf).
  7. July 21, 2020: Lindelöf Locales and the Locale of Real Numbers (Lecture7(2020-07-21).pdf).
  8. July 28, 2020: Computations in the Locale of Real Numbers (Lecture8(2020-07-28).pdf).
  9. August 4, 2020: More Computations: Proof of Localic Yosida Concluded. (Lecture9(2020-08-04).pdf).
  10. August 11, 2020: Change of Unit. Examples. (Lecture10(2020-08-11).pdf).
  11. August 18, 2020: Categories of Representations. (Lecture11(Version2)2020-08-18.pdf).

Short course participants:

  1. Papiya Bhattacharjee (Florida Atlantic University; Pbhattacharjee@fau.edu)
  2. Fred Dashiell (Chapman University/UCLA, dashiell@math.ucla.edu)
  3. Charles N. Delzell (Louisiana State University; delzell@math.lsu.edu)
  4. Themba Dube (University of South Africa)
  5. Partha Pratim Ghosh (University of South Africa; ghoshpp@unisa.ac.za)
  6. Oghenetega Ighedo (University of South Africa; visiting Louisiana State University 2019-2020; ighedo@lsu.edu)
  7. Elise Lazarus (University of Namibia, elazurus@unam.na)
  8. Giovanni Marelli (University of Namibia)
  9. Warren Wm. McGovern (Wilkes Honors College, Florida Atlantic University; Warren.mcgovern@fau.edu)
  10. Martin Mugochi (University of Namibia, mmugochi@unam.na)
  11. Evelyn N. Muteti (University of Cape Town; MTTEVE002@myuct.ac.za)
  12. Inderasan Naidoo (University of South Africa)
  13. Cerene Rathilal (University of Johannesburg (UJ); crathilal@uj.ac.za)
  14. Anneliese Schauerte (University of Cape Town; Anneliese.Schauerte@uct.ac.za)
  15. Mark Sioen (Vrije Universiteit Brussel (VUB), mark.sioen@vub.be)
  16. Ms. Dorca Nyamusi Stephen (University of South Africa, 65104226@mylife.unisa.ac.za)
  17. Dr. Bettina Wilkens (University of Namibia)

Publication:

June 2020: Conjunctive Join Semi-Lattices, https://arxiv.org/abs/2006.03705.


Last updated August 31, 2020.