There are such times when MySQL replication stops when you run certain updates on the master and the slave fails. Like for example you may have run a create table or an alter table on the master and further inserts but these DDLs get skipped and the inserts into these non-existent tables cause the slave to error out and stop.
A simple way out of this is to run the missing DDLs on the slave and push the counter by a step. This is not recommended as this might cause data inconsistency.
Use the below sql to skip the counter by 1.
SET GLOBAL SQL_SLAVE_SKIP_COUNTER = 1; START SLAVE;
Just remember to use the value 1 for any SQL statement that does not use AUTO_INCREMENT or LAST_INSERT_ID(), otherwise you will need to use the value 2. Statements that use AUTO_INCREMENT or LAST_INSERT_ID() take up 2 events in the binary log.
To skip lots of duplicate errors, you can set this in my.cnf
slave-skip-errors = 1062