BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20261106T094216EST-0674N3mCw9@132.216.98.100 DTSTAMP:20261106T144216Z DESCRIPTION:Rohil Prasad\n\nRohil Prasad is emerging as an international le ader in the application of modern analytical methods to problems in low-di mensional symplectic and contact dynamics. After receiving his PhD from Pr inceton University in 2023 under the supervision of Helmut Hofer\, he was awarded the prestigious Miller Fellowship at the University of California\ , Berkeley. In 2024\, he received the Brin Prize in Dynamical Systems for Young Mathematicians in recognition of his contributions to symplectic top ology and its applications to the dynamics of area-preserving maps\, conta ct flows\, and Hamiltonian systems.\n\nLecture 1 – This lecture is intende d for a general mathematical audience.\n\nMonday\, November 16\, 2026\, at 3:30 p.m. - Room 6214 (CRM).\n\nA wine and cheese reception will follow. \n\nTitle: From Holomorphic Curves to Invariant Measures\n\nAbstract: The theory of holomorphic curves provides a remarkable bridge from the symplec tic geometry of a space to the dynamics of Hamiltonian flows on that space . The greatest successes from this connection have been in the detection o f periodic orbits. This talk\, and the next\, will explore some ideas usin g holomorphic curves to detect dynamical objects that are more general tha n periodic orbits. To start\, we will discuss a method for finding invaria nt probability measures of Hamiltonian flows. Under some simple topologica l conditions\, we can show that these measures are 'interesting'\; they ar e not the standard symplectic volume measure. However\, many questions rem ain open.\n\nLecture 2\n\nTuesday\, November 17\, 2026\, at 2:30 p.m. - Ro om 6214 (CRM).\n\nA coffee gathering will follow.\n\nTitle: From Holomorph ic Curves to Invariant Sets\n\nAbstract: This talk continues our discussio n on using holomorphic curves to find dynamical objects that are more gene ral than periodic orbits. We will turn our attention from invariant measur es to invariant sets. In this talk\, I will present some recent work on de tecting invariant sets of Hamiltonian flows on $\mathbb{R}^4$. I will show that\, for any Hamiltonian and any compact regular level set $Y$\, there exist many nontrivial invariant subsets. More precisely\, there exists an infinite collection of distinct closed subsets of $Y$\, invariant under th e Hamiltonian flow\, whose union is dense in $Y$. I will also discuss rela ted joint work with Dan Cristofaro-Gardiner concerning Reeb flows in three dimensions and area-preserving surface diffeomorphisms.\n\nMichael Hutchi ngs (University of California\, Berkeley)\n\nMichael Hutchings is a profes sor of mathematics at the University of California\, Berkeley. He is a wor ld leader in homological methods in low-dimensional symplectic and contact topology\, having notably introduced and developed the theory of embedded contact homology. He is also recognized for his work on the double bubble conjecture in geometric analysis. He received his PhD from Harvard Univer sity in 1998 under the supervision of Clifford Taubes. He held postdoctora l research and visiting professorship positions at Stanford University\, t he Max Planck Institute for Mathematics in Bonn\, and the Institute for Ad vanced Study in Princeton before joining the faculty of the University of California\, Berkeley in 2001. He was awarded a Sloan Research Fellowship in 2003 and delivered an invited lecture at the International Congress of Mathematicians in 2010. In 2012\, he was named a Fellow of the American Ma thematical Society.\n\nLecture 1\n\nThursday\, November 19\, 2026\, at 2:3 0 p.m. - Room 6214 (CRM).\n\nA coffee gathering will follow the lecture.\n \nTitle: Weyl Laws for Min-Max Spectral Invariants of Three-Dimensional Co ntact Manifolds\n\nAbstract: We define 'elementary spectral invariants' of a closed three-dimensional manifold equipped with a contact form as the m in-max energy of certain pseudoholomorphic curves subject to point constra ints. It follows from this definition that each of these spectral invarian ts\, when finite\, is equal to the sum of the periods of a finite collecti on of periodic orbits of the Reeb vector field. Much less obviously\, thes e spectral invariants satisfy a 'Weyl law' relating their asymptotic behav ior to the contact volume. We will present the main ingredients involved i n the proof of this Weyl law.\n\nLecture 2 – This lecture is intended for a general mathematical audience.\n\nFriday\, November 20\, 2026\, at 3:30 p.m. - Room 6214 (CRM).\n\nA wine and cheese reception will follow the lec ture.\n\nTitle: Periodic Orbits of Reeb Vector Fields in Three Dimensions \n\nAbstract: Reeb vector fields on odd-dimensional manifolds generalize t he geodesic flow on a Riemannian manifold as well as Hamiltonian vector fi elds on certain level sets. We will present several important recent resul ts concerning the existence and properties of periodic orbits of Reeb vect or fields in three dimensions. The proofs rely on the spectral invariants discussed in the previous lecture (but attendance at that lecture is not r equired to follow this presentation).\n DTSTART;VALUE=DATE:20261116 DTEND;VALUE=DATE:20261120 SUMMARY:Nirenberg Lectures in Geometric Analysis URL:https://www.mcgill.ca/mathstat/channels/event/nirenberg-lectures-geomet ric-analysis-375380 END:VEVENT END:VCALENDAR