2024-2025 ACADEMIC YEAR
UPCOMING TALKS
Take a look below for the schedule for Prairie Mathematics Colloquiums this year. If you have any questions about specific activities or event timing, please don’t hesitate to get in touch - we’ll be happy to help.
Keep watch for event links to upcoming events hosted via online platforms.
NOVEMBER 7, 2024
SPEAKER: Martin Frankland, Associate Professor, University of Regina
(Learn more about the speaker here)
TITLE: "Quillen Cohomology of Divided Power Algebras over an Operad"
ABSTRACT: In topology, cohomology is an invariant we can assign to spaces. In algebra, there are also cohomology theories for various algebraic structures, such as group cohomology, Lie algebra cohomology, and André-Quillen cohomology of commutative rings. Quillen cohomology provides a cohomology theory for any algebraic structure. It has been studied notably for divided power algebras and restricted Lie algebras, both of which are instances of divided power algebras over an operad: the commutative and Lie operad respectively. I will describe recent work with Ioannis Dokas and Sacha Ikonicoff generalizing this to other operads. My main goal will be to introduce the three ingredients in the title.
TIME: All in the Central Time Zone
Meet and Greet:
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2:00pm-2:30pm CST
Talk:
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2:30pm-3:20pm CST
Questions:
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3:20pm-3:30pm CST
LOCATION:
The event took place via Zoom
JANUARY 16, 2025
SPEAKER: Shonda Dueck, Associate Professor, University of Winnipeg
(Learn more about the speaker here)
TITLE: "Cyclic Partitions of Complete and Almost Complete Uniform Hypergraphs"
ABSTRACT: Please click here for the abstract.
TIME: All in the Central Time Zone
Meet and Greet:
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2:00pm-2:30pm
Talk:
-
2:30pm-3:20pm
Questions:
-
3:20pm-3:30pm
LOCATION: The event took place via Zoom
MARCH 6, 2025
SPEAKER: Adam Clay, Professor, University of Manitoba
(Learn more about the speaker here)
TITLE: "Orderable Groups and the L-space Conjecture"
ABSTRACT: Similar to how the integers can be equipped with an ordering that is invariant with respect to addition, many groups can be equipped with an ordering that is invariant under the group operation. But aside from being a curious generalization of a standard algebraic structure, what role do orderable groups play in modern mathematics? In this talk, I will introduce orderable groups and answer this question by providing a brief overview of connections between orderable groups and areas of current research. The main focus, however, will be the L-space conjecture from low-dimensional topology, its connection with orderable groups, and how this conjecture has driven recent advancements in the field. In particular, I will explain how purely group-theoretic theorems have inspired topological results, and how topology might "give back" to group theory if the L-space conjecture turns out to be true.
TIME: All in The Central Time Zone
Meet and Greet:
-
2:00pm-2:30pm CST
Talk:
-
2:30pm-3:20pm CST
Questions:
-
3:20pm-3:30pm CST
LOCATION:
The event took place via Zoom
PREVIOUS TALKS
Take a look at our previous speakers, and their talks at various institutions. Follow this links to watch their past live-stream from the event.