Topology
Topology studies the structures of spaces that remain invariant under continuous deformations. It is a fundamental area of modern mathematics, closely connected with geometry, algebra, analysis, dynamical systems, and mathematical physics. By investigating the global structures and topological invariants of manifolds and related spaces, topological methods play a crucial role in understanding geometric structures, classifying spaces, and characterizing properties of various mathematical objects, exerting a profound influence across numerous branches of contemporary mathematics. The topology team at Zhejiang University focuses on areas such as symplectic topology, contact topology, and stable homotopy theory. Their research encompasses the topological properties of symplectic manifolds and Lagrangian submanifolds, Floer theory and Fukaya categories, the relationship between microlocal sheaves and mirror symmetry, as well as problems in algebraic topology like equivariant stable homotopy theory, motivic homotopy theory, spectral sequence methods, and topological modular forms. They are also interested in the interplay between geometric topology and algebraic topology.
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Topology studies the structures of spaces that remain invariant under continuous deformations. It is a fundamental area of modern mathematics, closely connected with geometry, algebra, analysis, dynamical systems, and mathematical physics. By investigating the global structures and topological invariants of manifolds and related spaces, topological methods play a crucial role in understanding geometric structures, classifying spaces, and characterizing properties of various mathematical objects, exerting a profound influence across numerous branches of contemporary mathematics. The topology team at Zhejiang University focuses on areas such as symplectic topology, contact topology, and stable homotopy theory. Their research encompasses the topological properties of symplectic manifolds and Lagrangian submanifolds, Floer theory and Fukaya categories, the relationship between microlocal sheaves and mirror symmetry, as well as problems in algebraic topology like equivariant stable homotopy theory, motivic homotopy theory, spectral sequence methods, and topological modular forms. They are also interested in the interplay between geometric topology and algebraic topology.
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