User John McCarthy

17 votes

1 answer

747 views

Examples for which it is not known if Grothendieck's Standard Conjectures hold.

ag.algebraic-geometry

asked Feb 15, 2010 at 21:04

16 votes

4 answers

4k views

Why are the holomorphic line bundle sections finite dimensional?

rt.representation-theory geometric-representation-theory complex-geometry

asked Jan 27, 2013 at 16:15

12 votes

2 answers

1k views

Weil Conjectures for nonprojective algebraic varieties

ag.algebraic-geometry zeta-functions characteristic-p

asked Nov 24, 2009 at 15:03

12 votes

6 answers

2k views

Hopf algebras arising as Group Algebras

qa.quantum-algebra hopf-algebras quantum-groups noncommutative-geometry

asked Dec 15, 2009 at 22:06

12 votes

4 answers

3k views

Elliptic Curves, Lattices, Lie Algebras

ag.algebraic-geometry cv.complex-variables lie-algebras elliptic-curves lattices

asked Oct 24, 2009 at 15:27

10 votes

5 answers

2k views

Global proof of Serre duality

dg.differential-geometry ag.algebraic-geometry

asked Nov 19, 2009 at 15:25

10 votes

5 answers

2k views

Dirac's Original Operator and the Hodge--Dirac Operator

spin-geometry dg.differential-geometry mp.mathematical-physics

asked Mar 22, 2011 at 17:55

9 votes

1 answer

762 views

Yetter--Drinfeld Modules and Braidings

hopf-algebras qa.quantum-algebra quantum-groups

asked Jul 18, 2011 at 20:47

9 votes

4 answers

1k views

Kontsevich, and Geometric, Quantization and the Podles sphere

noncommutative-geometry qa.quantum-algebra

asked Jan 3, 2010 at 13:01

8 votes

1 answer

999 views

Hodge Index Theorem for Gr(n,k)

ag.algebraic-geometry dg.differential-geometry complex-geometry

asked Nov 17, 2009 at 3:01

8 votes

1 answer

2k views

Quantum Group Calculations in Mathematica

qa.quantum-algebra quantum-groups computer-algebra

asked Oct 23, 2010 at 19:08

7 votes

4 answers

1k views

Compact Quantum Groups from Hopf Algebras

quantum-groups qa.quantum-algebra oa.operator-algebras noncommutative-geometry

asked Jun 11, 2011 at 20:14

7 votes

1 answer

1k views

Coherent Sheaves and Holomorphic Vector Bundles

dg.differential-geometry complex-geometry ag.algebraic-geometry vector-bundles coherent-sheaves

asked Mar 2, 2013 at 17:42

6 votes

2 answers

601 views

Uses of the Chern--Connes Pairing?

noncommutative-geometry chern-classes algebraic-k-theory

asked Apr 29, 2011 at 13:11

5 votes

3 answers

4k views

Dual Riemannian metric and the Dual Metric Form

dg.differential-geometry riemannian-geometry

asked Feb 8, 2011 at 16:00

5 votes

1 answer

991 views

Weyl Character Formula for Quantum Groups

quantum-groups qa.quantum-algebra ag.algebraic-geometry noncommutative-geometry

asked Jun 28, 2010 at 17:03

5 votes

2 answers

440 views

Quantum Frobenius II

quantum-groups qa.quantum-algebra noncommutative-geometry

asked Nov 17, 2009 at 19:15

5 votes

2 answers

1k views

Weil Conjectures for Grassmannians

ag.algebraic-geometry finite-fields characteristic-p zeta-functions weil-conjectures

asked Nov 24, 2009 at 13:34

4 votes

1 answer

261 views

FTR Quantization for any Subalgebra of $GL(n)$?

quantum-groups qa.quantum-algebra

asked Jan 18, 2010 at 18:21

4 votes

1 answer

386 views

Does the non-commutative Chern class depend on the choice of connection?

noncommutative-geometry chern-classes projective-modules

asked Nov 17, 2009 at 23:47

4 votes

3 answers

1k views

Quantum Frobenius

quantum-groups qa.quantum-algebra noncommutative-geometry

asked Nov 3, 2009 at 1:58

4 votes

1 answer

452 views

History of the Odd Dimensional Quantum Spheres

qa.quantum-algebra quantum-groups ho.history-overview

asked Mar 7, 2011 at 18:42

3 votes

1 answer

389 views

Restriction of the Levi-Civita Connection to a Connection on the (Anti-)Holomorphic Forms

dg.differential-geometry riemannian-geometry complex-geometry

asked Feb 10, 2011 at 14:49

3 votes

0 answers

530 views

Embedding Quantum SL(2) into the Quantum Matrices

qa.quantum-algebra

asked Jan 1, 2011 at 17:12

3 votes

0 answers

377 views

Neglect of Compact Quantum Metric Spaces [closed]

noncommutative-geometry oa.operator-algebras fa.functional-analysis

asked Nov 10, 2009 at 18:37

3 votes

1 answer

343 views

Hodge-Index Theorem for $\mathbb{C}P^2$

ag.algebraic-geometry complex-geometry dg.differential-geometry

asked Nov 16, 2009 at 18:25

3 votes

2 answers

928 views

Castelnuovo Positivity (Rewrite of: Weil's original proof for FP^2)

ag.algebraic-geometry zeta-functions

asked Oct 30, 2009 at 10:38

2 votes

1 answer

170 views

Projective Curves which are Principal Bundles

elliptic-curves ag.algebraic-geometry

asked Oct 29, 2009 at 17:40

2 votes

1 answer

218 views

Formula for the Matrix Elements of the Inverse of special linear Universal R-Matrix of Uq(sln)

qa.quantum-algebra quantum-groups hopf-algebras

asked May 22, 2010 at 21:00

2 votes

2 answers

358 views

The relation $S(u^1_i)u^j_1 = q^{-1}u^j_1S(u^1_i)$

hopf-algebras qa.quantum-algebra

asked Oct 9, 2010 at 20:38

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42 Questions

Examples for which it is not known if Grothendieck's Standard Conjectures hold.

Why are the holomorphic line bundle sections finite dimensional?

Weil Conjectures for nonprojective algebraic varieties

Hopf algebras arising as Group Algebras

Elliptic Curves, Lattices, Lie Algebras

Global proof of Serre duality

Dirac's Original Operator and the Hodge--Dirac Operator

Yetter--Drinfeld Modules and Braidings

Kontsevich, and Geometric, Quantization and the Podles sphere

Hodge Index Theorem for Gr(n,k)

Quantum Group Calculations in Mathematica

Compact Quantum Groups from Hopf Algebras

Coherent Sheaves and Holomorphic Vector Bundles

Uses of the Chern--Connes Pairing?

Dual Riemannian metric and the Dual Metric Form

Weyl Character Formula for Quantum Groups

Quantum Frobenius II

Weil Conjectures for Grassmannians

FTR Quantization for any Subalgebra of $GL(n)$?

Does the non-commutative Chern class depend on the choice of connection?

Quantum Frobenius

History of the Odd Dimensional Quantum Spheres

Restriction of the Levi-Civita Connection to a Connection on the (Anti-)Holomorphic Forms

Embedding Quantum SL(2) into the Quantum Matrices

Neglect of Compact Quantum Metric Spaces [closed]

Hodge-Index Theorem for $\mathbb{C}P^2$

Castelnuovo Positivity (Rewrite of: Weil's original proof for FP^2)

Projective Curves which are Principal Bundles

Formula for the Matrix Elements of the Inverse of special linear Universal R-Matrix of Uq(sln)

The relation $S(u^1_i)u^j_1 = q^{-1}u^j_1S(u^1_i)$