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Speaker: Professor Changyu Guo, Shangdong University
Title: Conservation law for harmonic mappings in higher dimensions
Abstract:
It has been a longstanding open problem to find a direct conservation law for harmonic mappings into manifolds. In the late 1980s, Chen and Shatah independently found a conservation law for weakly harmonic maps into spheres, which can be interpreted by Noether's theorem. This leads to Helein's celebrated regularity theorem on weakly harmonic maps from surfaces. For general target manifolds, Riviere discovered a direct conservation law in two dimension in 2007, allowing him to solve two well known conjectures of Hildebrandt and Heinz. As observed by Riviere-Struwe in 2008, due to lack of Wente's lemma, Riviere's approach does not extend to higher dimensions. In a recent joint work with Chang-Lin Xiang, we successfully found a conservation law, in the spirit of Riviere, for a class of weakly harmonic maps (around regular points) into general closed manifolds in higher dimensions.
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Membranology Unit (Kono Unit) would like to invite you to the seminar by Dr. Misato Ohtani.
Department of Integrated Biosciences, Graduate School of Frontier Sciences, The University of Tokyo
Division of Biological Science, Graduate School of Science and Technology, Nara Institute of Science and Technology
RIKEN, Center for Sustainable Resource Sciences
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"On the Quantum Information of Quantum Interference", Professor Peter S. Turner, CEO of the Sydney Quantum Academy, Australia, discusses recent results on issues one faces when attempting to scale up photonic quantum computation.
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Target audience: Interns, Students, PostDocs, and those who are interested in the same research field.
Language: English
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Speaker；Atsutaka Maeda Department of Basic Science , University of Tokyo
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Target audience: Interns, Students, PostDocs, and those who are interested in the same research field.
Language: English
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Speaker: Dr. Jose Henrique Rodrigues, University of Memphis, USA
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Shunsuke Tsuchioka, Tokyo Institute of Technology
Title: An example of A2 Rogers-Ramanujan bipartition identities of level 3
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Due to unavoidable circumstances, we regretfully announce the cancellation of this seminar.
We apologize for any inconvenience and appreciate your understanding.