**We kindly ask you to RSVP at the following link to get a headcount for food: https://forms.gle/DGkd4onizvu2Sby59 **
Overview
What: CHAT+
Who: All math faculty, staff, and graduate students
When: Tuesday November 30, 11:00AM-12:00PM + lunch provided after the discussion
Where: MATH 350
Why: Promoting the success of first-generation students in our classrooms
Moderators: Breeann Wilson and Jennifer Gensler
Event description
CHAT(+)s are discussion sessions for graduate students and faculty of the Department of Mathematics organized by the Diversity Committee. They are structured conversations about key issues, including discussions of issues relating to diversity, for graduate students (CHATs) and between graduate students and faculty (CHAT+s). The goal of the CHAT+ organized for November 30th is to address the challenges faced by first-generation students in higher education and discuss practices we can implement in our classrooms that promote the success of these students.
The discussion will be guided by the following short readings:
3) https://firstgen.naspa.org/files/dmfile/FactSheet-01.pdf (this is a graphic)
Faculty and students are asked to take a look at the above readings before the CHAT+. If you are unable to do the readings, however, please do not be deterred from participating. If you can only attend for part of the discussion, please join us when you are able to.
Here are some additional readings that may prove insightful:
If you have any questions, please reach out. We hope to see you there!
Breeann and Jennifer, on behalf of the Diversity Committee
Serving First-Generation Students in our Classrooms
Tue, Nov. 30 12pm (Zoom)
Grad Algebra Seminar
Michael Kompatscher (Charles University Prague)
X
Let be a permutation group on a -element set. We then say that an algebra has a -term , if is invariant under permuting its variables according to , i.e. for all . Since -terms appear in the study of constraint satisfaction problems and elsewhere, it is natural to ask for their classification up to interpretability. In the first part of my talk I would like to share a few partial results on this problem.
In the second part I am going to discuss the complexity of deciding whether a given finite algebra has a -term. The most commonly used strategy in showing that deciding a given Maltsev condition is in P, is to show that it suffices to check the condition locally (i.e. on subsets of bounded size). We show that this „local-global“ approach works for all -terms induced by regular permutation groups (and direct products of them), but fails for some other „rich enough" permutation groups, such as for .
This is joint work with Alexandr Kazda.
-terms and the local-global property Sponsored by the Meyer Fund
Birkhoff and Mal'cev independently posed the problem: Describe all subquasivariety lattices. Nurakunov in 2009 showed that there are many unreasonable subquasivariety lattices where unreasonable means there is no algorithm to determine if a particular finite lattice is a sublattice. This sugests refinements of the original question are needed.
A subquasvariety lattice has a natural equaclosure operator. Adaricheva and Gorbunov in 1989 defined an equaclosure operator abstractly as having the properties that are known to hold in a natural equaclosure operator.
The soon-to-be-published book, A Primer of Quasivariety Lattices by Kira Adaricheva, Jennifer Hyndman, JB Nation, and Joy Nishida, refines the abstract definition of equaclosure operator and provides some answers to the refined question: When is a lattice with an equaclosure operator representable by a subquasivariety lattice and the natural equaclosure operator. This presentation explores some of this new approach.
A reader's guide to A Primer of Subquasivariety Lattices
Tue, Nov. 30 3pm (Zoom)
Topology
Katharine Adamyk (University of Western Ontarion)
X
One common application of topological methods to data analysis is the clustering of data sets. Many of the methods for clustering depend on the value of certain parameters, and as these parameters vary, they index what is known as a hierarchical clustering. Jardine introduced the notion of layer points as a condensed description of hierarchical clusterings in 2020, in the context of the 2-parameter clustering defined by path components of degree-Rips complexes. In this talk I will present recent work that develops the theory of multiparameter layer points more generally, as well as a specific application to the original context. A main theme will be stability—under what conditions do similar inputs for a clustering algorithm guarantee similar resulting clusterings? I will focus particularly on the stability problem with respect to subsampling a data set.
In many settings, the Temperley-Lieb algebra is isomorphic to the endomorphism algebra on the tensor representation for . In characteristic zero, the Jones-Wenzl projectors give descriptions at the morphisms level for tilting modules in characteristic zero. Their characteristic p versions provided by Burrull-Libedinsky-Sentinelli, describe the tilting category for and admit a quiver representation given by Tubbenhauer-Wedrich. Our project extends this result to the mixed case, i.e. a field with characteristic p containing all ?’th roots of unity, gives fusion rules for tensoring with the natural module regarding the objects as well as the morphisms. This is joint work with L. Sutton, D. Tubbenhauer, and P. Wedrich. (Zoom Meeting ID: 941 2691 8788, passcode: algebra)
Managing Difficult Classroom Dynamics - This session focuses on how to integrate effective classroom norms to foster a respectful and inclusive environment and minimize challenging student behavior. Participants will discuss scenarios and practice responding effectively to problems in the classroom.
Teresa Wroe from OIEC will be facilitating.
Managing Difficult Classroom Dynamics
Tue, Dec. 7 12:40pm (Zoom)
Math Edu
Shandy Hauk (San Francisco State University)
X
The session is a sampler across aspects of professional learning related to teaching, scholarly activity, service, and leadership development. The focus is on how to cultivate and use a portfolio document as a tool for planning, implementing, and reflecting on professional growth. We will start with an overview of the nature of “professional development” for those seeking faculty roles. Then, in small groups, we will look at some examples of teaching portfolios of college faculty. The third and final activity includes consideration of your own professional destination(s), how the documentation of your journey in a professional portfolio might look, and some initial planning about how to get there (wherever “there” is).
Meeting ID: 813 9009 4107 Passcode: 265706
On Being the Architect of Your Own Professional Future
Georg Cantor's "Continuum Hypothesis" (CH) postulates that every infinite set S of reals is either countable or equinumerous with the set of all reals. Using the axiom of choice this means that the "continuum" (the cardinality of the set of reals) is equal to aleph1, the smallest uncountable cardinal.
David Hilbert's first problem asked if CH is true; we know now that neither CH nor non-CH can be proved from the usual axioms of set theory (ZFC). Paul Cohen's method of forcing allows us to build universes (structures satisfying ZFC) where the continuum is arbitrarily large.
There are many relatives of the continuum, such as the answers to these questions: How many nulls sets (Lebesgue measure zero) do we need to cover the real line? How many points do we need to get a non-null set? How many sequences (or convergent series) do we need to eventually dominate all sequences (convergent series)? etc. All these cardinals are located in the closed interval between aleph1 and the continuum.
In my talk I will present some of these cardinals and hint at the methods used to construct universes where these cardinals have prescribed values, or satisfy strict inequalities.
Serving First-Generation Students in our Classrooms