User Bombyx mori

114 votes

1 answer

10k views

What happened to Suren Arakelov? [closed]

asked Nov 5, 2018 at 9:01

34 votes

1 answer

3k views

Does the Pfaffian have a geometric meaning?

asked Sep 22, 2014 at 0:22

25 votes

2 answers

1k views

Why it is difficult to define cohomology groups in Arakelov theory?

asked Mar 29, 2017 at 14:31

24 votes

3 answers

3k views

How we do actually compute the topological index in Atiyah-Singer?

asked Apr 21, 2013 at 9:38

18 votes

1 answer

2k views

Did differential geometry undergo a notation change?

asked Sep 20, 2014 at 23:11

16 votes

0 answers

2k views

Grothendieck 's question - any update?

asked Apr 29, 2013 at 3:50

16 votes

1 answer

912 views

Is there any progress on Problem 12 (from Schoen and Yau)?

asked Jul 20, 2014 at 22:45

12 votes

0 answers

1k views

What is the reason that $\sigma$-algebra replaced $\sigma$-ring in introductory measure theory?

asked Dec 30, 2014 at 10:25

10 votes

1 answer

498 views

Is it obvious that analytic torsion is a topological invariant?

asked Feb 4, 2017 at 6:37

9 votes

3 answers

966 views

Examples of compact complex manifolds for which the $dd^c$ lemma does not hold

asked Sep 10, 2016 at 3:11

8 votes

1 answer

2k views

Why $\Omega X$ and $BG$ are adjoint functors?

asked Apr 27, 2013 at 3:12

7 votes

0 answers

288 views

How to interpret heat kernel at unit time on a Riemann surface?

asked Sep 13, 2017 at 0:04

6 votes

1 answer

956 views

Why complete symmetric polynomials and elementary symmetric polynomials are dual to each other?

asked May 31, 2014 at 11:55

6 votes

1 answer

572 views

What is a good reference for conormal distributions?

asked Dec 7, 2014 at 4:01

5 votes

1 answer

407 views

On Ray-Singer's proof of the metric invariance of analytical torsion

asked Aug 7, 2016 at 7:21

5 votes

1 answer

855 views

Why a nilpotent Lie group must be a matrix group?

asked Oct 3, 2014 at 0:49

5 votes

0 answers

226 views

How does the Atiyah-Singer index theorem in a relative setting related to "ringed spaces and pseudocoherent complexes of finite tor-dimension"?

asked Aug 22, 2014 at 4:24

5 votes

1 answer

368 views

Deligne's example of $\deg \pi_{*}\Omega_{X/Y}<0$

asked Jul 21, 2019 at 11:22

4 votes

0 answers

146 views

Poisson summation formula for infinite dimensional spaces

asked Oct 20, 2020 at 3:43

4 votes

0 answers

545 views

Is Serre duality related to Pontryagin duality?

asked Aug 12, 2018 at 6:17

4 votes

1 answer

328 views

How to extend index theorem to infinite dimensional manifolds?

asked Oct 19, 2014 at 3:07

4 votes

3 answers

704 views

What to read for many-body problems in 3D Schrodinger equation

asked Jun 24, 2014 at 7:28

3 votes

1 answer

713 views

Discrete Gaussian free field for a closed manifold

asked Apr 4, 2018 at 11:49

2 votes

0 answers

99 views

Analogies of Quillen metric for non-archimedean places

asked Oct 25, 2018 at 8:14

1 vote

0 answers

115 views

Can Gaussian measure be characterized by unitary representations?

asked Feb 4, 2019 at 5:48

1 vote

0 answers

59 views

Bound of analytic torsion for a line bundle

asked Mar 27, 2018 at 20:52

1 vote

0 answers

120 views

Tor functor in the case of algebra of smooth functions

asked May 21, 2016 at 3:02

1 vote

1 answer

245 views

Cauchy-Schwarz type formula for positive integral operator

asked Jun 20, 2014 at 7:43

1 vote

1 answer

808 views

Confusion with the Laplacian comparision theorem

asked May 1, 2013 at 3:48

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29 Questions

What happened to Suren Arakelov? [closed]

Does the Pfaffian have a geometric meaning?

Why it is difficult to define cohomology groups in Arakelov theory?

How we do actually compute the topological index in Atiyah-Singer?

Did differential geometry undergo a notation change?

Grothendieck 's question - any update?

Is there any progress on Problem 12 (from Schoen and Yau)?

What is the reason that $\sigma$-algebra replaced $\sigma$-ring in introductory measure theory?

Is it obvious that analytic torsion is a topological invariant?

Examples of compact complex manifolds for which the $dd^c$ lemma does not hold

Why $\Omega X$ and $BG$ are adjoint functors?

How to interpret heat kernel at unit time on a Riemann surface?

Why complete symmetric polynomials and elementary symmetric polynomials are dual to each other?

What is a good reference for conormal distributions?

On Ray-Singer's proof of the metric invariance of analytical torsion

Why a nilpotent Lie group must be a matrix group?

How does the Atiyah-Singer index theorem in a relative setting related to "ringed spaces and pseudocoherent complexes of finite tor-dimension"?

Deligne's example of $\deg \pi_{*}\Omega_{X/Y}<0$

Poisson summation formula for infinite dimensional spaces

Is Serre duality related to Pontryagin duality?

How to extend index theorem to infinite dimensional manifolds?

What to read for many-body problems in 3D Schrodinger equation

Discrete Gaussian free field for a closed manifold

Analogies of Quillen metric for non-archimedean places

Can Gaussian measure be characterized by unitary representations?

Bound of analytic torsion for a line bundle

Tor functor in the case of algebra of smooth functions

Cauchy-Schwarz type formula for positive integral operator

Confusion with the Laplacian comparision theorem