Upcoming Seminars
| Title: Sources, sinks, and sea lice: determining patch contribution and transient dynamics in marine metapopulations |
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| Seminar: Mathematics |
| Speaker: Peter Harrington, PhD of University of British Columbia |
| Contact: Dr. Bree Ettinger, betting@emory.edu |
| Date: 2025-01-27 at 9:00PM |
| Venue: MSC W303 |
| Download Flyer |
| Abstract: Sea lice are salmon parasites which threaten the health of both wild and farmed salmon. Open-net salmon farms act as reservoirs for sea lice in near coastal areas, which can lead to elevated sea louse levels on wild salmon. With a free-living larval stage, sea lice can disperse tens of kilometers in the ocean, both from salmon farms onto wild salmon and between salmon farms. This larval dispersal connects local sea louse populations on salmon farms and thus modelling the collection of salmon farms as a metapopulation can lead to a better understanding of which salmon farms are driving the overall growth of sea lice in a salmon farming region. In this talk I will discuss using metapopulation models to specifically study sea lice on salmon farms in the Broughton Archipelago, BC, and more broadly to better understand the transient and asymptotic dynamics of marine metapopulations. No ecological background will be assumed, and despite the biological motivation there will be plenty of mathematics in the talk. |
| Title: TBA |
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| Seminar: Mathematics |
| Speaker: Andrew Lyons, PhD of University of North Carolina at Chapel Hill |
| Contact: Dr. Bree Ettinger, betting@emory.edu |
| Date: 2025-01-31 at 2:00PM |
| Venue: MSC W301 |
| Download Flyer |
| Abstract: TBA |
| Title: Can computational math help settle down Morrey's and Iwaniec's conjectures? |
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| Seminar: Analysis and Differential Geometry |
| Speaker: Wilfrid Gangbo, PhD of UCLA |
| Contact: Dr. Levon Nurbekyan, lnurbek@emory.edu |
| Date: 2025-02-14 at 11:00AM |
| Venue: MSC W303 |
| Download Flyer |
| Abstract: In 1987, D. L. Burkholder proposed a very simple looking and explicit energy functionals $I_p$ defined on $\mathbb{S}$, the set of smooth functions on the complex plane. A question of great interest is to know whether or not $\sup_{\mathbb{S}} I_p \geq 0$. Since the function $I_p$ is homogeneous of degree $p$, it is very surprising that it remains a challenge to prove or disprove that $\sup_{\mathcal{S}} I_p \geq 0$. Would $\sup_{\mathbb{S}} I_p \geq 0$, the so-called Iwaniec's conjecture on the Beurling--Ahlfors Transform in harmonic analysis would hold. Would $\sup_{\mathcal{S}} I_p > 0$, the so-called Morrey's conjecture in elasticity theory would hold. Therefore, proving or disproving that $\sup_{\mathbb{S}} I_p \geq 0$ is equally important. Since the computational capacity of computers has increased exponentially over the past decades, it is natural to hope that computational mathematics could help settle these two conjectures at once. |