Week 1 (due Jan. 14) All numbered problems are from Morita. 1. ProblemFor a noncompact manifold M of dimension n, one can define a new cohomology theory as follows. Let Ωkc (M ) the space of C ∞ k-forms with

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Chern-Simons theory The C-S partition function Feynman calculus gives a perturbation expansion of Z near the flat connections in 1/k. The interaction

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K-THEORY FOR RING C*-ALGEBRAS – THE CASE OF NUMBER FIELDS WITH HIGHER ROOTS OF UNITY arXiv:1201.4296v2 [math.OA] 4 Oct 2012 ¨

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1 Parallel k-Means in Theory and Practice • Input: – Number of desired means k ∈ N – Set of points P ⊂ Rd (or multiset) • Output: – Set of k means C = {c1 , . . . , ck }

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Improved approximation for Fr´echet distance on c-packed curves matching conditional lower bounds (extended abstract) Karl Bringmann∗ Marvin K¨

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• Mathematical analysis
• Mathematics
• Measure theory
• Homotopy theory
• Differential topology
• Analysis
• Boolean algebra
• Probability theory
• Sigma-algebra
• Generalised Whitehead product

Artificial Intelligence in Education C.-K. Looi et al. (Eds.) IOS Press, 2005 © 2005 The authors. All rights reserved. 49

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• Education
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C ∗ -ALGEBRAS AND K-THEORY GRADUATE STUDENT SEMINAR SUMMER TERM 2013 MARKUS LAND This semester we want to study the basic theory of C ∗ -algebras and their topological

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• Algebra
• Abstract algebra
• Mathematics
• K-theory
• Operator algebras
• Functional analysis
• C*-algebras
• Operator theory
• Banach algebra
• Algebra over a field
• KK-theory
• Associative algebra

C URRICULUM V ITAE C HRISTOPH M. K IRSCH C ONTACT Address

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• Software engineering
• Computing
• Programming language theory
• Actor model
• Concurrent computing
• Search engine indexing
• Click
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• Point and click
• ALGOL 68
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• Software engineering
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• Theoretical computer science
• Index
• Search engine indexing
• Actor model
• ALGOL 68
• Symposium on Logic in Computer Science