Diana Carolina Montoya: The equality p=t and the generalized characteristics

Dear all,

The seminar meets on Wednesday December 12th at 11:00 in the Institute
of Mathematics CAS, Zitna 25, seminar room, 3rd floor, front building.

Program: Diana Carolina Montoya — The equality p=t and the generalized
characteristics

Marriallis and Shelah solved in the positive the longstanding problem of
whether the two cardinal invariants $\mathfrak{p}$ (the
pseudointersection number) and $\mathfrak{t}$ (the tower number) are
equal. In this talk, I will review some essential points in their proof
in order to motivate the study of the analogous question for the
generalized characteristics $\mathfrak{p}(\kappa)$ and
$\mathfrak{t}(\kappa)$. I will present some results of Garti regarding
this generalization and finally some recent progress (joint work with
Fischer, Schilhan and, Soukup) in the direction of answering this question.

Best,
David

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