EQUIVARIANT ALGEBRAIC GEOMETRY FEBRUARY 4, K OSZUL C OMPLEX Let A be a ring and x1 , . . . , xn a regular sequence (i.e. xi is not a zero-divisor in A/(x1 , . . . , xi−1 )). This is sort of “bad” because it

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Summer School on Commutative Algebra and Algebraic Geometry, September 7-10, 2014 School of Mathematics, IPM, Tehran Stanley Depth of Monomial Ideals Seyed Amin Seyed Fakhari

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EQUIVARIANT ALGEBRAIC GEOMETRY JANUARY 28, R IEMANN -R OCH , CONTINUED

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Summer School on Commutative Algebra and Algebraic Geometry, September 7-10, 2014 School of Mathematics, IPM, Tehran Jet Schemes and Resolution of Singularities Hussein Mourtada

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EQUIVARIANT ALGEBRAIC GEOMETRY JANUARY 26, L OOSE E NDS Last time we tried to give an example of a Deligne-Mumford stack that comes up “in nature.” We gave the example of 4 “unmarked

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Department of Mathematics, University of California San Diego ******************************* Algebraic Geometry Seminar Matthew Kerr

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Summer School on Commutative Algebra and Algebraic Geometry, September 7-10, 2014 School of Mathematics, IPM, Tehran Liaison Theory Elisa Gorla

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Summer School on Commutative Algebra and Algebraic Geometry, September 7-10, 2014 School of Mathematics, IPM, Tehran Powers of Ideals and Images of Rational Maps Marc Chardin

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EQUIVARIANT ALGEBRAIC GEOMETRY JANUARY 30, W HY THE T ODD CLASS ? If we seek a characteristic class satisfying Z

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arXiv:math.QAv1 12 SepCyclic Cohomology, Quantum group Symmetries and the Local Index Formula for SUq (2) Alain Connes

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• Homological algebra
• Noncommutative geometry
• Homology theory
• Group theory
• Spectral triple
• Spectral sequence
• Cohomology
• Closed and exact differential forms
• Quantum group
• Abstract algebra
• Algebra
• Algebraic topology