Given a nodal genus one curve and a proper subcurve of genus one, we will construct a contraction that collapses the subcurve to a genus one singularity. We will do this by first introducing residues for curves over local artinian rings and "twists" of these residues by tropical data from the curve, then we will use these residues to explicitly construct the contraction.
Residues and contractions of genus one curves
Sep. 12, 2024 12:30pm (MATH …
Kempner
Dr. Pamela E. Harris (University of Wisconsin-Milwaukee)
X
What is mathematical research? How does a mathematician find problems to work on? How does one build mathematical collaborations? In this talk, I will share my journey to research mathematics, what it entails, how I have developed new research ideas, and how I have found my place within the mathematical community. Mathematical topics of discussion will include lattice point visibility, parking functions, and a connection between vector partition functions and juggling. No prior mathematical background on these topics is expected nor assumed as we will introduce all the needed concepts from first principles. All that is needed is the willingness to wonder and ask the question: “what happens if…?
How to choose your own mathematical adventures
Sep. 12, 2024 2:30pm (MATH 3…
Functional Analysis
Robin Deeley (CU Boulder)
X
I will introduce some of the basic ideas involved in the Baum-Connes conjecture. Also, this will be an organizational meeting where we plan the other talks on this subject. We will be following https://arxiv.org/abs/1703.10912.
The Baum-Connes conjecture
Sep. 12, 2024 3:35pm (MATH 3…
Probability
Janos, Kyle & Sean (CU Boulder)
X
Janos, Kyle and Sean will talk about their current research and what it's like to work in the probability group. The talks will be informal and there will be plenty of time for questions.
Residues and contractions of genus one curves