"現代幾何学においても、特性類の重要性は減ずるどころかますます大きくなっている。しかも単なるコホモロジー類としてだけでではなく、それを表わす微分形式自 身の詳細な解析がなされるなど、より深い役割を果たすようになってきている。たとえば、d…"

"Like Moses, André Weil caught sight of the Promised Land, but unlike Moses, he was unable to cross the Red Sea on dry…"

"If our geometry is to resemble differential geometry we must adjoin some uniqueness properties. Now in those geometri…"

"A geodesic that is not a null geodesic has the property that ∫ds, taken along a section of the track with the end poi…"

"String topology has been used to study closed geodesics on Riemannian manifolds through Morse theory on the energy fu…"

"We begin by recalling that geodesics can be obtained as solutions of the Euler-Lagrange equation of a Lagrangian give…"

"The idea of a parallel displacement along some given curve in a two-dimensional surface can be given an intuitive int…"

"Gaitsgory gives an informal introduction to the geometric Langlands program. This is a new and very active area of re…"

"Langlands outlined the first version of the programme in 1967, when he was a young mathematician visiting the IAS. Hi…"

"Hecke transformations are one of the most important ingredients in geometric Langlands. What they mean in terms of ph…"