Lagrangian Hofer metric and barcodes
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Patricia is a Postdoc in Mathematics at ETH Zürich, having recently graduated under the supervision of Prof. Paul Biran.
Patricia is working in the field of symplectic topology. Some key words in her current research project are: Dehn twist, Seidel triangle, real Lefschetz fibrations and Fukaya categories. Besides this, she is a big fan of Hofer's metric, expecially of the Lagrangian Hofer metric and the many interesting open questions related to it.
Abstract
filtered Lagrangian Floer theory. This gives rise to a persistence module and a barcode. Its bar lengths are invariants for the pair of Lagrangians.