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X-WR-CALDESC:Events for CMSA
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DTSTART;VALUE=DATE:20260916
DTEND;VALUE=DATE:20260918
DTSTAMP:20260708T193143
CREATED:20260701T195057Z
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SUMMARY:Ahlfors Lectures: Mohammed Abouzaid
DESCRIPTION:Ahlfors Lectures  \nDates: September 16 & 17\, 2026 \nTime: 4:00–5:00 pm \nSpeaker: Mohammed Abouzaid (Stanford) \nRegister to attend in person or online at: https://www.math.harvard.edu/event/ahlfors-lecture-series-mohammed-abouzaid/ \n  \nSeptember 16\, 2026 \nTitle: Framed bordism and nearby Lagrangians \nAbstract: The problem of understanding Lagrangian embeddings in symplectic manifolds remains a mystery. The simplest class of symplectic manifolds are the cotangent bundles of smooth manifolds\, which is the setting for the most prominent open problem in the subject: Arnold’s nearby Lagrangian conjecture which asserts the connectedness of the space of Lagrangians for which the relative class of the symplectic form vanishes. In particular\, the conjecture asserts that all such submanifolds are diffeomorphic. In view of recent work with Alvarez-Gavela\, Courte\, and Kragh\, as well as work of Procelli and Smith\, I will use the question as a motivation for joint work with Andrew Blumberg on a bordism-theoretic approach to define bordism-valued refinements of Floer homology. \n  \nSeptember 17\, 2026 \nTitle: Complex bordism and Hamiltonian fibrations \nAbstract: As a consequence of his theory of weights\, Deligne proved that smooth complex projective varieties\, carrying a smooth morphism to the projective line\, have rational cohomology groups that are isomorphic to the tensor product of the cohomology of the fibre with that of the base. In joint work with McLean and Smith\, we should that the result not only holds for symplectic manifolds\, but is in fact a consequence of an analogous result that holds for complex cobordism. The proof identifies bordism of “stably complex derived orbifolds” as the correct framework in which to formulate these results\, and I will discuss joint work with Shaoyun Bai to understand these bordism groups. \nThe Ahlfors Lecture Series is presented by the Harvard University Math Department in memory of  Professor Lars Ahlfors.
URL:https://cmsa.fas.harvard.edu/event/ahlfors2026/
LOCATION:Harvard Science Center\, 1 Oxford Street\, Cambridge\, MA\, 02138
CATEGORIES:Event,Public Lecture,Special Lectures
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CREATED:20260422T170335Z
LAST-MODIFIED:20260707T141614Z
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SUMMARY:CMSA/Tsinghua Math-Science Literature Lecture: Robert Gompf: On classifying smoothings of R^4–from the beginning to the present
DESCRIPTION:CMSA/Tsinghua Math-Science Literature Lecture \nDate: September 16\, 2026 \nTime: 9:00 – 10:30 am ET \nLocation: CMSA G10\, 20 Garden Street & via Zoom Webinar \n  \nPlease register to attend \nIn-person registration\n \nZoom Webinar registration \n  \n \nSpeaker: Robert E. Gompf\, University of Texas\, Austin \nTitle: On classifying smoothings of R^4–from the beginning to the present \nAbstract: The field of 4-manifold topology was born around 1981 with two independent revolutionary breakthroughs\, by Fields medalists Michael Freedman and Simon Donaldson. Freedman showed that topological 4-manifolds obeyed the well-developed theory of higher-dimensional manifolds\, while Donaldson used nonlinear analysis (gauge theory) to show that smooth 4-manifolds are quite different from their high-dimensional counterparts. The clash between the two theories makes 4-manifold topology uniquely intricate within manifold theory. One of the most startling consequences is that unlike in other dimensions\, Euclidean 4-space R^4 admits exotic smoothings. Equivalently\, there are smooth 4-manifolds that are homeomorphic\, but not diffeomorphic\, to R^4. We will trace the classification theory of these manifolds from their discovery to the most recent development (joint with Aristotelis Panagiotopoulos) that they cannot be classified by any countable family of numerical invariants. \n  \n\nBeginning in Spring 2020\, the CMSA began hosting a lecture series on literature in the mathematical sciences\, with a focus on significant developments in mathematics that have influenced the discipline\, and the lifetime accomplishments of significant scholars. \n  \n 
URL:https://cmsa.fas.harvard.edu/event/mathscilit2026_rg/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/Mathlit_91626.png
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