All *around* the *world people witness bizarre phenomena*. ... But,
*over* the *years scientific advancements have solved many* of *these
mysteries*, ... *Still*, *many answers* continue to elude *scientists*
and researchers of anomalous *phenomena*.

Type: Documentary

Languages: English

Status: Running

Runtime: 60 minutes

Premier: 2016-06-30

## Monsters & Mysteries Unsolved - List of unsolved problems in mathematics - Netflix

Since the Renaissance, every century has seen the solution of more mathematical problems than the century before, and yet many mathematical problems, both major and minor, still remain unsolved. Prizes are often awarded for the solution to a long-standing problem, and lists of unsolved problems (such as the list of Millennium Prize Problems) receive considerable attention. Unsolved problems remain in multiple domains, including physics, computer science, algebra, additive and algebraic number theories, analysis, combinatorics, algebraic, discrete and Euclidean geometries, graph, group, model, number, set and Ramsey theories, dynamical systems, partial differential equations, and miscellaneous unsolved problems.

## Monsters & Mysteries Unsolved - Problems solved since 1995 - Netflix

Virtual Haken conjecture (Agol, Groves, Manning, 2012) (and by work of Wise also virtually fibered conjecture) Hsiang–Lawson's conjecture (Brendle, 2012) Willmore conjecture (Fernando Codá Marques and André Neves, 2012) Ehrenpreis conjecture (Kahn, Markovic, 2011) Hanna Neumann conjecture (Mineyev, 2011) Bloch–Kato conjecture (Voevodsky, 2011) (and Quillen–Lichtenbaum conjecture and by work of Geisser and Levine (2001) also Beilinson–Lichtenbaum conjecture) Erdős distinct distances problem (Larry Guth, Netz Hawk Katz, 2011) Density theorem (Namazi, Souto, 2010) Hirsch conjecture (Francisco Santos Leal, 2010) Sidon set problem (J. Cilleruelo, I. Ruzsa and C. Vinuesa, 2010) Atiyah conjecture (Austin, 2009) Kauffman–Harary conjecture (Matmann, Solis, 2009) Surface subgroup conjecture (Kahn, Markovic, 2009) Scheinerman's conjecture (Jeremie Chalopin and Daniel Gonçalves, 2009) Cobordism hypothesis (Jacob Lurie, 2008) Full classification of finite simple groups (Harada, Solomon, 2008) Geometrization conjecture (proof was completed by Morgan and Tian in 2008 and it is based mostly on work of Grigori Perelman, 2002) Serre's modularity conjecture (Chandrashekhar Khare and Jean-Pierre Wintenberger, 2008) Heterogeneous tiling conjecture (squaring the plane) (Frederick V. Henle and James M. Henle, 2008) Erdős–Menger conjecture (Aharoni, Berger 2007) Road coloring conjecture (Avraham Trahtman, 2007) The angel problem (Various independent proofs, 2006) Lax conjecture (Lewis, Parrilo, Ramana, 2005) The Langlands–Shelstad fundamental lemma (Ngô Bảo Châu and Gérard Laumon, 2004) Tameness conjecture and Ahlfors measure conjecture (Ian Agol, 2004) Robertson–Seymour theorem (Robertson, Seymour, 2004) Stanley–Wilf conjecture (Gábor Tardos and Adam Marcus, 2004) (and also Alon–Friedgut conjecture) Green–Tao theorem (Ben J. Green and Terence Tao, 2004) Ending lamination theorem (Jeffrey F. Brock, Richard D. Canary, Yair N. Minsky, 2004) Carpenter's rule problem (Connelly, Demaine, Rote, 2003) Cameron–Erdős conjecture (Ben J. Green, 2003, Alexander Sapozhenko, 2003) Milnor conjecture (Vladimir Voevodsky, 2003) Kemnitz's conjecture (Reiher, 2003, di Fiore, 2003) Nagata's conjecture (Shestakov, Umirbaev, 2003) Kirillov's conjecture (Baruch, 2003) Poincaré conjecture (Grigori Perelman, 2002) Strong perfect graph conjecture (Maria Chudnovsky, Neil Robertson, Paul Seymour and Robin Thomas, 2002) Kouchnirenko’s conjecture (Haas, 2002) Vaught conjecture (Knight, 2002) Double bubble conjecture (Hutchings, Morgan, Ritoré, Ros, 2002) Catalan's conjecture (Preda Mihăilescu, 2002) n! conjecture (Haiman, 2001) (and also Macdonald positivity conjecture) Kato's conjecture (Auscher, Hofmann, Lacey, McIntosh and Tchamitchian, 2001) Deligne's conjecture on 1-motives (Luca Barbieri-Viale, Andreas Rosenschon, Morihiko Saito, 2001) Modularity theorem (Breuil, Conrad, Diamond and Taylor, 2001) Erdős–Stewart conjecture (Florian Luca, 2001) Berry–Robbins problem (Atiyah, 2000) Erdős–Graham problem (Croot, 2000) Honeycomb conjecture (Thomas Hales, 1999) Gradient conjecture (Krzysztof Kurdyka, Tadeusz Mostowski, Adam Parusinski, 1999) Bogomolov conjecture (Emmanuel Ullmo, 1998, Shou-Wu Zhang, 1998) Lafforgue's theorem (Laurent Lafforgue, 1998) Kepler conjecture (Ferguson, Hales, 1998) Dodecahedral conjecture (Hales, McLaughlin, 1998) Ganea conjecture (Iwase, 1997) Torsion conjecture (Merel, 1996) Harary's conjecture (Chen, 1996) Fermat's Last Theorem (Andrew Wiles and Richard Taylor, 1995)

Pentagonal tiling (Michaël Rao, 2017) Erdős–Burr conjecture (Choongbum Lee, 2017) Boolean Pythagorean triples problem (Marijn Heule, Oliver Kullmann, Victor Marek, 2016) Babai's problem (Problem 3.3 in “Spectra of Cayley graphs”) (A. Abdollahi, M. Zallaghi, 2015) Main conjecture in Vinogradov's mean-value theorem (Jean Bourgain, Ciprian Demeter, Larry Guth, 2015) Erdős discrepancy problem (Terence Tao, 2015) Umbral moonshine conjecture (John F. R. Duncan, Michael J. Griffin, Ken Ono, 2015) Anderson conjecture (Cheeger, Naber, 2014) Gaussian correlation inequality (Thomas Royen, 2014) Goldbach's weak conjecture (Harald Helfgott, 2013) Kadison–Singer problem (Adam Marcus, Daniel Spielman and Nikhil Srivastava, 2013) (and the Feichtinger's conjecture, Anderson’s paving conjectures, Weaver’s discrepancy theoretic

K
S
r
{\displaystyle KS_{r}}
and
K
S
r
′
{\displaystyle KS'*{r}}
conjectures, Bourgain-Tzafriri conjecture and
R
ϵ
{\displaystyle R*}
-conjecture)

## Monsters & Mysteries Unsolved - References - Netflix

- http://www.ams.org/mathscinet-getitem?mr=1139077
- http://doi.org/10.2307%2F2118559
- http://www.math.jussieu.fr/~miw/articles/pdf/odp.pdf
- http://doi.org/10.4007%2Fannals.2017.185.3.2
- http://www.ams.org/mathscinet-getitem?mr=2047103
- http://www.emis.de/journals/BAG/vol.43/no.1/b43h1haa.pdf
- http://mathworld.wolfram.com/Pi.html
- https://arxiv.org/pdf/math/0405568v1.pdf
- http://www.ams.org/mathscinet-getitem?mr=3098784
- https://arxiv.org/pdf/1509.05363v5.pdf
- http://doi.org/10.1016%2Fj.jctb.2006.05.008
- https://arxiv.org/pdf/1406.6534v10.pdf
- https://www.netflixtvshows.com