Rutgers Logic Seminar: Mondays

Information

Directions to the Hill Center can be found here. Please note that if you plan to drive, you will need a parking permit. This can be obtained from Hill 303, 305, or 307, though these offices close at 5:00 pm.

The

Seminar Schedule

5:00 pm - 6:00 pm, Room 705, Hill Center, Busch Campus

Upcoming Talks

Past Talks

exists a linear order that is isomorphic to its lexicographically ordered cartesian cube but not to

its square. The analogous question has been answered positively for many different classes of

structures, including groups, Boolean algebras, topological spaces, graphs, partial orders, and

Banach spaces. However, the answer to Sierpinskiâ€™s question turns out to be negative: any

linear order that is isomorphic to its cube is already isomorphic to its square, and thus to all of its

finite powers. I will present an outline of the proof and give some related results.

Title: Complete groups are complete co-analytic

this talk, answering a question of Kechris, I will show that the set of countably infinite complete groups

is complete co-analytic in the Polish space of countably infinite groups.

Title: Primitive Binary Structures

the computation of relational complexity in natural cases and the determination of the infinite families of

finite primitive structures having bounded relational complexity. The first is a problem in combinatorics

and the second is a problem in permutation group theory. Important progress on the second has been

made recently by Gill and Spiga.

Title: First-Order Logic with Isomorphism

natural semantics in the Univalent Foundations. This allows us to carry out a model theory in which

mathematical structures are formalized in terms of homotopy types, just as in traditional model theory

they are formalized in terms of sets. After defining the system, we will outline the relevant soundness

and completeness results and sketch some applications.

This talk is based on the paper here and relevant slides can be found here.

Title: On Cichon's Diagram for Uncountable $\kappa$

understood. In this talk I will mention our work aiming to study the cardinal invariants of Cichon's Diagram

when considering its generalization to the generalized Baire space $\kappa^{\kappa}$, where $\kappa$

is an uncountable cardinal. Our research focuses mainly on the cardinals in the diagram associated with

the $\kappa$-Meager ideal, due to the absence of a notion of measure on these spaces. I will present

the results that can be easily lifted from the countable case as well as some differences and open problems

that arise when trying to achieve such a generalization.

This is joint work with Jorg Brendle, Andrew Brooke-Taylor, and Sy-David Friedman

Title: A Derived Model with a Measure

will give an outline of how to get a canonical model of AD^+ with a measurable cardinal above Theta,

assuming a limit of Woodin cardinals with a measurable above.

Title: Unions of Chains of Signatures

Title: A Proof of Generation of Full Pointclasses

Previous Semesters

Fall 2016

Spring 2016