Talk by Dr. QuanSheng Wu (EPFL, Switzerland) introducing the concept of Berry phases in materials science and how to compute topological properties. The talk, given on 25th March 2020, was part of the "School on Wannier90 v3.0: new features and applications", 25-27th March 2020 – Virtual Edition Note: The 18th and 19th slides have been updated in the new version, where the termination of semi-infinite surface is changed.[slides][{"0":"00:00:00.000","1":"00:00:23.520","2":"65804aece4b08f2db431c084","3":"0.0","isRemoved":false},{"0":"00:00:23.520","1":"00:01:04.120","2":"65804aece4b08f2db431c086","3":"23.52","isRemoved":false},{"0":"00:01:04.120","1":"00:02:35.560","2":"65804aece4b08f2db431c088","3":"64.12","isRemoved":false},{"0":"00:02:35.560","1":"00:04:47.120","2":"65804aece4b08f2db431c08a","3":"155.56","isRemoved":false},{"0":"00:04:47.120","1":"00:06:25.960","2":"65804aece4b08f2db431c08c","3":"287.12","isRemoved":false},{"0":"00:06:25.960","1":"00:08:51.880","2":"65804aece4b08f2db431c08e","3":"385.96000000000004","isRemoved":false},{"0":"00:08:51.880","1":"00:10:45.680","2":"65804aece4b08f2db431c090","3":"531.88","isRemoved":false},{"0":"00:10:45.680","1":"00:12:45.440","2":"65804aece4b08f2db431c092","3":"645.6800000000001","isRemoved":false},{"0":"00:12:45.440","1":"00:13:33.040","2":"65804aece4b08f2db431c094","3":"765.44","isRemoved":false},{"0":"00:13:33.040","1":"00:14:43.880","2":"65804aece4b08f2db431c096","3":"813.04","isRemoved":false},{"0":"00:14:43.880","1":"00:15:54.720","2":"65804aece4b08f2db431c098","3":"883.88","isRemoved":false},{"0":"00:15:54.720","1":"00:16:56.680","2":"65804aece4b08f2db431c09a","3":"954.72","isRemoved":false},{"0":"00:16:56.680","1":"00:19:12.480","2":"65804aece4b08f2db431c09c","3":"1016.6800000000001","isRemoved":false},{"0":"00:19:12.480","1":"00:20:43.960","2":"65804aede4b08f2db431c09e","3":"1152.48","isRemoved":false},{"0":"00:20:43.960","1":"00:23:35.000","2":"65804aede4b08f2db431c0a0","3":"1243.96","isRemoved":false},{"0":"00:23:35.000","1":"00:26:28.560","2":"65804aede4b08f2db431c0a2","3":"1415.0","isRemoved":false},{"0":"00:26:28.560","1":"00:26:57.400","2":"65804aede4b08f2db431c0a4","3":"1588.56","isRemoved":false},{"0":"00:26:57.400","1":"00:28:17.440","2":"65804aede4b08f2db431c0a6","3":"1617.4","isRemoved":false},{"0":"00:28:17.440","1":"00:31:33.320","2":"65804aede4b08f2db431c0a8","3":"1697.44","isRemoved":false},{"0":"00:31:33.320","1":"00:33:52.360","2":"65804aede4b08f2db431c0bd","3":"1893.32","isRemoved":false},{"0":"00:33:52.360","1":"00:36:16.440","2":"65804aede4b08f2db431c0bf","3":"2032.3600000000001","isRemoved":false},{"0":"00:36:16.440","1":"00:37:55.320","2":"65804aede4b08f2db431c0c1","3":"2176.44","isRemoved":false},{"0":"00:37:55.320","1":"00:39:42.080","2":"65804aede4b08f2db431c0c3","3":"2275.32","isRemoved":false},{"0":"00:39:42.080","1":"00:41:14.880","2":"65804aede4b08f2db431c0c5","3":"2382.08","isRemoved":false},{"0":"00:41:14.880","1":"00:41:54.840","2":"65804aede4b08f2db431c0c7","3":"2474.88","isRemoved":false},{"0":"00:41:54.840","1":"00:42:57.000","2":"65804aede4b08f2db431c0c9","3":"2514.84","isRemoved":false},{"0":"00:42:57.000","1":"00:44:32.440","2":"65804aede4b08f2db431c0cb","3":"2577.0","isRemoved":false},{"0":"00:44:32.440","1":"00:45:50.480","2":"65804aede4b08f2db431c0cd","3":"2672.44","isRemoved":false},{"0":"00:45:50.480","1":"00:47:50.720","2":"65804aede4b08f2db431c0cf","3":"2750.48","isRemoved":false},{"0":"00:47:50.720","1":"00:48:31.040","2":"65804aede4b08f2db431c0d1","3":"2870.7200000000003","isRemoved":false},{"0":"00:48:31.040","1":"00:48:54.000","2":"65804aede4b08f2db431c0d3","3":"2911.04","isRemoved":false},{"0":"00:48:54.000","1":"00:00:00.000","2":"65804aede4b08f2db431c0d5","3":"2934.0","isRemoved":false}][endslides]
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