Seminar
"Functional Analysis Mini-Conference and Seminar"
Anastasia Molchanova - Limits of Sobolev homeomorphisms: global injectivity
My Research Journey on Cesaro Averaging and New Invariant Banach Limits on L∞ and L∞(0,∞)
Abstract:
Special Seminar: “Variable Lebesgue spaces: An overview, geometry and fixed point theory. 2.”
Special Seminar: “Variable Lebesgue spaces: An overview, geometry and fixed point theory. 1.”
“The Mazur product of convergent sequences is not onto. 2.”
Growth and Patterns (CANCELLED)
Abstract:
Linear Algebra ∩ Calculus ≠ Empty Set
Abstract:
Integration by parts is one of the most time-consuming methods of integration that we learn in calculus, second only to the dreaded trig-substitution. However, in certain settings, we can speed up the process by using tools from linear algebra. By considering functions as vectors, we can find a basis for a subspace that allows us to compute integrals via a simple matrix multiplica-tion. Will this discovery lead to a paradigm shift in integration techniques? No! But it is an interesting intersection of ideas. Food and drinks will be provided!
What is dimension?
Curves are dimension $1$, surfaces have dimension $2$, but fractals have non-integer dimensions. But what is this ``dimension''? What does it really mean for the West coast of Britain to have dimension 1.25? After defining the Hausdorff dimension, I will compute that of some household fractals such as Cantor's set, Koch snowflake, and Sierpinski carpet. Expect to get your black-and-white copies of some fractals!